what does the slope of a force vs acceleration graph represent. Therefore, the slope of the graph represents the net force acting on the cart. Recall that linear equations have the general form. What does the slope represent? (g) From the observation table, compare the calculated acceleration in each case to the ratio F m net. Position in Graph to Acceleration and want Time Graphs Physics u0026 Calculus by The Organic Chemistry Tutor 4 years ago 20 minutes 41266 views. The slope of the graph without any added weights was 0. The graph will be a straight line in the fourth quadrant with negative slope equal to negative of force constant. Since that mass of the cart is not changing, this means that force and acceleration are directly proportional. time graph (with line of best fit) On the Velocity Vs. 2) Describe the motion of an object through interpretation of such graphs. Force, Mass & Acceleration: Newton's Second Law of Motion. The proportionality constant k is specific for each spring. Straight diagonal lines represent a constant speed motion. What physical property does the slope of a Force vs. ) Record, in the Constant Net Force Table, the experimental acceleration (aex) for Run 6. Choose Analyze and choose Linear fit. Then answer the questions about that graph. mthe slope is related to the spring constant by: slope= 4ˇ2 (10. Are the net force on an object and the acceleration of the object directly proportional? Explain. Yes the slope has units! Slope = rise/run. If the upward force of the elevator on the person is 600 Newtons, the person is (1)at rest (2)accelerating upward (3)accelerating downward (4)moving downward at constant speed 14. There are three main types of graphs concerning linear motion: the displacement-time graph, the velocity-time graph, and the acceleration-time graph. I can understand why you'd want to plot just net force against acceleration. Graph Lines Up & Down: The Meaning of Change. Explain what the slope of this graph represents. Force and Motion STUDENT JOURNAL Reflections and Conclusions 1. Record the acceleration of the car by finding the slope of the v vs. In physics, jerk or jolt is the rate at which an object's acceleration changes with respect to time. If the neutral position is 0, then the displacement Δx = x −0 = x Let's say k = 50 N m. How do you graph constant acceleration?. This general graph represents the motion of a body travelling at constant velocity. I ask that they describe a scenario that corresponds to their graphs. 2) The slope of the Force - Acceleration graph would simply represent the mass of the particle. Is it a straight line or a curve? 2. Predict what the acceleration graph looks like for the black car, which has a constant acceleration of 3 m/s 2. ) Compare the graphs of force vs. Are the net force on an object and the acceleration of the object directly proportional? Explain, using experimental data to support your answer. The negative of the slope, on either side of the equilibrium point, gives a force pointing back to the equilibrium point, so the equilibrium is termed stable and the force is called a restoring force. \(\texttip{x}{x}\), or \(m=\Delta v/\Delta t\) in this case. In terms of a displacement-time (x vs. What kind of relationship does the graph show? Is this consistent with Newton's second law? Explain. The acceleration time graph is the graph that is used to determine the change in velocity in the given interval of the time. What does the slope represent? The units of the slope of force vs. Determine and record the acceleration. Graphs of motion of a jet-powered car during the time span when its acceleration is constant. Verify that a constant net force causes a constant acceleration by collecting data, graphing each vs. Newton's second law says that when a constant force acts on a massive body, it causes it to accelerate, i. Both involve mass and time, connecting these two variables. 6) What does the slope of your F vs. Acceleration is determined by the slope of time-velocity graph. For each trial, compare the slope of the regression. Results and Analysis Mass on Hanger (kg) I. How to Find Acceleration Using a Velocity Time Graph. time graph for uniform acceleration is a diagonal line. What does the slope of work-time curve at any instant represent? A. To determine the type of motion by a position-time graph, we should first know how slope means in such graphs. When the object is stationary, the distance-time graph will be horizontal. #6 The acceleration vs time graph of the motion of a car initially at rest is shown: a) Find the area of the 3 rectangles in raph above and record in the table: b) What do the areas represent?. 1: The Relationship Involving Acceleration. Find the slope of the line and find the average speed. For the equal mass: more force causes more acceleration; less force causes less acceleration. The slope of the graph provides you with information, such as the velocity. The graphs in Figure 3 below represent the motion of the jet-powered car as it accelerates toward its top speed, but only during the time when its acceleration is constant. reciprocal of the mass of the system (1/Mass of System)is in the unit m/s 2 /1/kg. The velocity versus time graph is a straight line which means that the acceleration is constant. 6 of the manual to find the uncertainty δa of the acceleration. Position is in meters and time is in seconds. the coefficient of \(t\)) of the velocity versus time graph is the acceleration and the slope is negative which is consistent with our expectations after choosing upwards as the positive direction. These matching factor changes would occur for any factor change and for any constant mass. ULI Macintosh Pick et Fence Block Adjustable leg Figure 1 Photogate From the acceleration of the glider and the slope of the air track, the acceleration due to gravity, g, can be determined from: sinθ a g = (1). time represents acceleration while the area of the graph represents the distance traveled. mass graph is the acceleration. The velocity versus time graph has 2 quadrants, positive and negative. time, and analyzing the data during the appropriate time interval. For each trial, compare the slope of the regression line to the mass being accelerated. When you are ready to start the experiment, click on the begin button. time graph represent? Choices: A. Because I saw some confusion in another answer, here's a more "operational" version:. time2 suggest? Answer in TG: The d - t and d - t2 graph tell that the tin can is accelerating uniformly. According to Newton's second law an object will accelerate in the direction of the net force. Materials TI-82, 83, 86, 89, 92, or 92 Plus PHYSICS program loaded in calculator. From the displacement-time graph, you can calculate the average velocity and instantaneous velocity by calculating the slope of the graph. Hence the slope is proportional to the acceleration. Time Time (seconds) What does the slope of this graph represent? work done on a charged body in an electric field and the net charge on the body. Analyze data to support the claim that Newton's second law of motion describes the mathematical relationship among the net force on an object, its mass, and its acceleration. Type in 'Velocity vs Time Graph' for Chart Title, 'Time, t (sec)' for the x-axis label and 'Velocity, V (m/sec)' for the y-axis label. , where ΣF represents a net external force acting on an object, m is the mass of the object moving under the influence of ΣF, and a is the acceleration of that object. Yes, the slope does indeed have units. Let's begin by considering the velocity versus time graph below. What does the graph of force vs. What does this graph tell you? What would the slope of the velocity vs time curve represent if it is likewise a rage of change with respect to time? Describe the slope of the velocity curve and explain its significance. time graph physically represent? If the slope of a position vs. The gradient of the line will give the acceleration. The Force vs acceleration graph has force in the y-axis and acceleration in the x-axis, . PDF Experiment 5: Atwood's Machine. Collect force and acceleration data for a cart as it is moved back and forth. " Click here to see an example of student work. Constant velocity particle model worksheet 3 position vs time graphs. This may seem like a lot of material to assimilate all at once, but it is not really difficult. Normal Force and find the slope of the graph. time graph represents _____ ? The net force vs. acceleration yields a linear relationship (of the form y= mx). Calculate the distance travelled by the object in 15 s. One can change this to say kg m/s 2 which is also known as N. Compute the average of your two acceleration values, and enter this average, and the uncertainty, in the Report. To find the pulling force, multiply the hanging mass (in kilograms) by 9. You can eyeball a line, or use some line of best fit to make the model between variables. The change in velocity of an object in an acceleration vs. It may be either positively sloped, sloping upward from left to right, or negatively sloped, sloping downward from left to right. 4 Acceleration 33 Conceptual Example 2. Slope can be calculated either by looking at the graph of a line or by using the coordinates of any two points on a line. Um, the slope of each segment is the acceleration during that time period. Ultrasonic motion detector Excel™. 2 The Second Law: Force, Mass, and Acceleration. If the line slopes upward, like the line between 0 and 4 seconds in the Figure above, velocity is increasing, so acceleration is positive. What physical quantity (velocity, acceleration, etc. this graph, then we know that y is a function of t2 and the slope of this line has units m/s2, which are the units of acceleration. If the acceleration is positive, then. PDF Constant Mass Changing Force. so here we can say that this ratio of distance and time for very small interval of time. Why does the slope have a negative slope, and what does the slope of this graph represent? The graph represents gravity, and since gravity is -9. PDF General Physics Labs I (PHYS. Compared with the acceleration of object. Students in a science class conducted an investigation to demonstrate that, by Newton's second law of motion, the ratio between the net force and the acceleration produced is constant. A force's direction is measured in degree or radian. Since the slope of the linear fit is 0. 5 x vGraphical Relationships Between , x, and a x The position of an object moving along the x axis varies with time as in Figure 2. Acceleration is the rate of change of the speed of an object, so if an object has mass, and it is. Click the "Scale to fit" button ( ) to rescale the Graph axes to fit the data. Does your acceleration-time graph agree reasonably well with your calculated that might represent the velocity of the cart at that time. What does the slope of the line represent? A. Derive an equation relating all three. Students identify the quantities that need to be measured. Zero the force sensor and record data as you grip the hook on the end of the force sensor firmly to push and pull the cart back and forth on the track smoothly. Let's see in graph of force versus acceleration to find the mask. So the slope of this graph, let's try to interpret what this means. What does the slope at a point on a position versus time graph represent?. What are the units of the slope of the force vs acceleration graph? What does each variable mean F M A? What is the . the acceleration we would get a graph like: -Note that fig 4 is a force-acceleration graph and that acceleration and force are proportional - the larger the force the greater the acceleration. 7 The slope of displacement versus time is velocity. This formula is the rotational analog of Newton's second law. There are a variety of different types of curves that might be encountered in. Repeat steps 2-6 for at least 6 different hanging masses. Use the slope to calculate the moment of inertia, and its uncertainty. Create a graph of net force vs. You saw yesterday in class that the graph of an object accelerating down a hill looks like this: We are using the image analysis software in this example. But first, let's take a look at how does the acceleration vs. PDF Physics 211: Newton's Second Law. So that was all about the positive acceleration vs negative acceleration. 9987 is pretty linear but does show scatter. The relationship is directly proportional. Activity P10: Atwood's Machine (Photogate/Pulley System). 20 = vf - 6 ( initial velocity is given in the question as 6 m/sec) Example:- There is an acceleration vs time graph given, then find the initial velocity of the object if the final velocity of the object was 40m/sec. Force and Acceleration To determine the physical meaning of the slope on the force-acceleration graph, increase the number of carts gradually. The slope of an acceleration graph represents a quantity called the jerk. This can be seen by remembering that the average velocity between an instant t 1 and a subsequent instant t 2 is equal to the slope of the secant line passing through the points t 1 and t 2 on the position vs time graph. Use your graph to determine what is the acceleration of the rocket? slope =. The green line shows the slope of the velocity-time graph at the particular point where the two lines touch. In this case it's the change in the vertical variable (force) divided by the change in the horizontal unit (acceleration). (show calculation, and units together on the graph paper) (10 points) 4. How are acceleration and force graphs related . 1 The student can justify the selection of the kind of data needed to answer a particular scientific question. What is the significance of the slope in your experiment? d. This will allow you to also graph force vs. PDF Kinematics Kinematic Equations. That is total area under the graph (area of traingle) / total time take (length of the base)= mean (average) value of the speed = half the value of height of the triangle. Instantaneous acceleration: The acceleration of a body at any instant is called its instantaneous acceleration. From equation (4), we have: F c = (4 πMr )(1 T2) (7) which is in the form y = mx , the equation of a line. "h" is the measurement to the top of the ramp as before, "d" is the distance from point P along the ramp to the bottom. 2018 Physics Junior High School answered What does the slope of a speed vs. The slope of average velocity vs time graph tells us the acceleration of graph object. In kinetic friction, the frictional force will be a constant {equal to mu* (normal force)}, but the slope (change in applied force divided by change in acceleration) would be equivalent to the mass of the object. The object of this virtual lab is to determine the spring constant k. time graphs for these two basic types of motion - constant velocity motion and accelerated motion (i. Jan 12, 2018 Literally the slope means force per unit distance or force gradient. Use your derived equation to determine acceleration for each data set. The force FS is a restorative force and its direction is opposite (hence the. The sloping line shows that the speed of the object is changing. The net force is total force acting on the system. For each trial compare the slope of the regression line to the mass being accelerated. Let's look at problem 28 at the end of the chapter as an example. Hooke's Law states that the restoring force of a spring is directly proportional to a small displacement. There is a basic formula that relates torque to angular acceleration: where = torque, = moment of inertia, and = angular acceleration. Force is a push or pull that an object exerts on other objects. What physical property does the vertical intercept represent? 3. The Meaning of Slope for a v-t Graph. If the line is horizontal, as it is between 4 and 7 seconds, velocity is constant and acceleration is zero. the normal force (horizontal axis) from Part II. Measure the mass of your glider and masses and enter below Mass = III. 81 the linear graph will slope in the negative direction. Calculate the slope of this graph, with units, and with correct significant figures. What does the slope of a velocity vs. Steeper graphs have a greater rate of change than do shallower graphs. PDF Part I: The Slope of the Line. Calculating Acceleration with Force and Mass. acceleration? Part II Graphing Directions: Using the data in the following table, construct a graph of distance vs. t graph is decreasing, the acceleration of the object must be in the opposite direction to its motion. What does the slope of the graph represent? f. • Click on the velocity graph and drag a box around the relevant velocity data. What should the values of A and B equal if the theory is valid?. For stationary objects, in the absence of external. Its slope is the acceleration at that point. From this can you tell us what the slope of the graph as a function of would be?. 8 When acceleration is constant, the slope of 2d versus t2 gives the acceleration. mass w Force diagrams that represent the forces exerted on the objects 4. Are the net force on an object and the acceleration of the object directly proportional? Yes, as the net force is increased, the acceleration is also increased. Time change as they adjust to match the motion shown on the Velocity vs. 1b: What physical property does the slope of a Force vs. ( this can be seen using the unit m/s2. We know that at t=5s, a) the curve is not crossing the time axis b) the velocity of the. Question: Compare the generic form of a power function, Y =AX B, with the theoretical equation F = m (v 2 /R). Speed, Velocity, Acceleration, Force & Graphs. Two points of position vs time does velocity from slope that a position velocity acceleration graphs worksheet or falling due to use tools and use this section is concerned with students. During the experiment, they run an application created with MIT's App Inventor that monitors linear acceleration in one-dimension. • The velocity will change, and that's why we put a delta in front of it. PDF Forces and Acceleration Review KEY. Inclined Plane with Friction, Two Masses, and a Pulley. For our constant 2 m/s/s acceleration the . A straight line that may end at the time axis , The slope of line is negative , It is negative acceleration , The object is moving at a uniform deceleration. The graph also shows centripetal force well in to the. What does the slope of a position vs. We can benefit from this graph by two ways. How can you use a speed versus time graph to find an object's acceleration?. Regarding this, what does the slope of a force vs time graph represent? So the gradient of a force-time graph gives us the rate of change of acceleration times the mass of the body. • Time is changing (sort of) as we measure it over a period of time. If the acceleration is zero, then the slope is. time graph for an object moving at a constant velocity of 2 m/s. To find velocity on the position-time graph you can follow the following steps:-. Label the following events on the force versus time graph. Do a Linear fit to the velocity data to obtain " a" the Linear Acceleration at the edge of the rotating disk. The average acceleration between an instant t 1 and an instant t 2 is equal to the slope of the secant line that passes through the points t 1 and t 2 on the velocity vs time graph. Explanation: F is force applied to stretch a spring and causes it to extend by a length Δx from its neutral position. If you rearrange the net-force equation to solve for acceleration, you can see that if the size of the net force doubles, then so does the size of the acceleration (if you push twice as hard, the object accelerates twice as much. The acceleration is the slope of the velocity graph. Place the 50 kg box in the center of the track. • In DataStudio, select Run #1 from the Data Menu in the Graph display. Calculate the theoretical value of the slope and compare it to the slope from. Therefore the mean value of such a slope is the mid point of the slope or half the value of the height. What could the slope of your acceleration vs 1 mass graph represent?. f = ma y = mx (m = gradient) Home Subjects Math Science 🏛️. Questions Answer these questions in your lab report. Now let's go on to an example involving a force vs. Fit each of the velocity vs time curves with a line. For example, you might plot the force applied to a shopping cart over time as it's pushed across the. 5 m/s2 for the duration of the 20 s. For example, the slope gives us speed value and speed direction (of course, we are talking about constant velocity motion). Understanding Velocity & Acceleration from Graphs Position(x) vs. Now why intercept means value of Y when X equal to zero? That is value of force when acceleration is zero, so force equal to mass center acceleration, so forces also zero. One question in particular asks that if I am to graph the logarithm of the horizontal net force of a system vs the logarithm of the horizontal acceleration, what does the slope and y-intercept of the graph mean? This one has me quite puzzled. time graph represent? What does the slope of a line on a speed vs. Examine the ratios and decide whether or not they are constant. , friction, as it rolls across the floor. Position, Velocity, and Acceleration vs. time graph The area under the net force vs. Place a mass onto the top of your cart. They manipulated the net force applied to. In the acceleration vs time graph on the x-axis you have the time taken by the object and on the y-axis acceleration of the object, in which the area under the graph gives you the change in velocity of the object over the given period of the time. w Graphs of the data: › acceleration vs. acceleration by clicking on the center of the graph. Find the slope of the line on the graph, and its uncertainty. Compare the graphs of force vs. Recap on graphing and slope and area under curves problems. This lab will let you examine the factors affecting the acceleration of an object. Angular acceleration - time (α-t) graph. After you have taken the data, choose the graph of force vs. Hence, the graph represents a body which is in rest. The slope of any line remains constant along the line. These acceleration values can be verified by calculating the slope on the Velocity v. A positive slope in a VT graph is acceleration (+a). The slope of a graph illustrates the rate of change from one point on the graph to another point. time graph of an object is equal to the velocity of the object. x=\frac 12 at^2+v_0t+x_0 x = 21. • Determine the relationship between force, mass, and acceleration. The graph starts at the origin and at t=5s the acceleration of the ball is zero. Change in Velocity from Acceleration Time Graph. Developing Mathematical Representations of Changing Quantities. • Collect force and acceleration data for a cart as it is moved back and forth. The graph suggests that a point will be reached where there is the possibility of putting so much mass on the cart that the cart will approach the point of zero acceleration. (h/L) with h/L on the horizontal axis. The slope of the curve becomes steeper as time progresses, showing that the velocity is increasing over time. ) shows that the angular acceleration, measured in the international system (S. Equipment List: Low Friction Track with cart Science Workshop. The y-intercept represents the initial velocity. Car 2 - Velocity and acceleration graphs. c) To create an acceleration- time graph from a velocity-time graph find the slope of each interval. now here we can see that if similarly graph is plotted against distance and time then slope is given as. Draw a best-fit line through the data points. and a line below the time axis indicates negative acceleration (Slowing down) BUT The slope of the lines says NOTHING about the amount of acceleration. Graphing motion virtual lab 2 answers. We measure a force's magnitude in Newtons or Kgm/s2 (Kilogram meter per second squared), named after the father of physics, Isaac Newton. Horizontal lines represent an object at rest. Determine the slope of your line. Calculate the slope of this graph, with units, and with correct sig figs. If it is a straight line, then it is the average acceleration. acceleration where the units of force are (kg*m/s^2) and the units of acceleration are. Since the line is straight and slope = Resistance,we can say that ohm's law holds true. What is the meaning of change? Consider the following three graphs, excerpted from Volumes 1 & 2 of The Science of Home Construction from Schottenbauer Publsihing: What does the horizontal straight line represent?. PDF Experiment 1: Introductory Experiments. Time Graph: Worked Examples for High Schools. time, no further calculations are needed to turn the slopes into accelerations. What does this graph represent? Be specific. One of them is area under the graph which gives the displacement and the slope which gives the acceleration. What does the slope of a speed vs. Instantaneous velocity at any point is the slope of the tangent at that point. A force acting on an object that is free to move What does the slope of the line on this graph represent? A. From the data in Table 2, plot a graph T2 vs. The graph is linear (that is, a straight line). The line is sloping upwards to the right. 22823m/s/s, and the slope of the velocity graph is. What does the slope represent? Slope (or Gradient) We call m the slope or gradient of the line. what is the unit of the slope, if any? g. In 1-dimensional kinematics, you can represent the motion of the object using position vs. 313 which is quite far from the expected 0. These are acceleration vs time graphs. time (t) graph Object moving with a constant velocity (uniform motion) -what is the shape of x -t graph? Average velocity = slope of line joining initial & final positions Slope of a line is rise divided by run changeinvertical axis slope. The yo-yo reaches its greatest acceleration of 12 inches per second at t = 4 seconds. In this investigation, you will • determine the acceleration for an Atwood’s apparatus of fixed total mass. This is from Newton's second law of . For a distance-time graph, the distance never decreases. Gravitational Acceleration Calculations (g = 9,8 m s-2) When an object is dropped, it will accelerate due to the force of gravity. acceleration graph? Simplify the units of the. time graph? Multiply the y-axis by the mass. Distance vs time graph worksheet middle school. Draw the position versus time graph and the speed versus time graph for an object moving at a constant speed of 2 m/sec. (c) Acceleration gradually declines to zero when velocity becomes constant. What does the slope on a force vs acceleration graph. If the line slopes downward from left to right on the graph, this means that the object is slowing down. Explanation: The spring constant is k = F Δx F is force applied to stretch a spring and causes it to extend by a length Δx from its neutral position. The slopes are different because of the mass carried by cart, compact mass made the cart move slower and it. an acceleration graph represent? Others have given the basic formula F = ma corresponding to y = mx+b where m is the slope (in both, funny coincidence!) and b = 0. Calculate the acceleration of the. Galileo Galilei famously proved that ALL objects accelerate at the same rate. since the unit for displacement is metres, (m) and the unit for time is seconds, (s). force, then the slope will naturally be acceleration/force, or the amount that acceleration increases for a unit increase in force. With an appropriate choice of unit for force, then the constant of proportionality, k, in the equation F = k ma is 1. acceleration graph? Simplify the units of the slope to. Create a table in which to place the Acceleration and Net Force data point that you determined in step 5. For example, try making a graph of F vs x for your Hooke's Law experiment, and then interpret the slope. Students in a science class conducted an investigation to demonstrate that, by Newton’s second law of motion, the ratio between the net force and the acceleration produced is constant. Edit • Print • Download • Embed • Share. Technique for measuring acceleration: after obtaining graphs of position and velocity versus time for the fan cart using Logger Pro, you will use the following technique to determine the average acceleration of the fan cart. The graph shows a linear slope of 0. discuss the conversion of energy from the simulation picture below. Based on Newton 's Second Law is F = ma. A velocity vs time graph shows _____ Any slope shows us _____ DIFFE RENT SLOPES MEAN DIFFERENT THINGS. When you push on an object, how does the magnitude of the force affect its. time graph or the slope of this region of data on the velocity vs. (The apparatus is in the picture below. Acceleration (ms-2) On a piece of graph paper plot a graph of acceleration vs force (acceleration on the y axis and force on the x axis). Displacement time graph for uniform speed. 4) Equations, graphs, and motion maps can be used to decribe the motion of an object. What does the slope of a position versus time graph represent? 3. MATERIALS computer Vernier Force Sensor Vernier computer interface low-friction dynamics cart. Let v 0 be the velocity at t = 0 and v t be the velocity after a time. and I think it can be proven by the units. How does the slope of a velocity versus time graph compare to the slope of a position versus t2 graph? What relationship should exist between the two. Acceleration is an object's change in velocity. g) Determine the acceleration of an accelerating object four ways: i) Find the slope of a v vs. When data sets are more or less linear, it makes it easy to identify and understand the relationship between variables. Add a trendline and display it on the graph. Describe the motion of Car A: 80. This graph is curving upward, so the slope (and the acceleration) is increasing. (This can be done by finding the slope of each interval) Then multiply each average velocity by its time interval to get the displacement. Graphs of Vertical Projectile Motion. time graph have? What does the slope of a position vs. What are the units of the slope of force vs. A negative slope in a VT graph is deceleration (-a). By taking the slope of the curve in graph, verify that the acceleration is 3. In this set of graphs, the velocity is always positive, indicating a confusion between speed and velocity. What physical quantity does slope represent? What is the correct name for the combination of units the slope possesses? Acceleration VS time graph units. Graphically, this means that if we have potential energy vs. Highlight the portion of the graph with constant acceleration with your mouse and determine the slope of this portion of your graph using the tools available on the computer. Momentum & Energy: Elastic and Inelastic Collisions. The slope of the graph represents the A)change of position B)normal force C)momentum D) acceleration due to gravity 22. If the neutral position is 0, then the displacement Δx = x −0 = x. " Acceleration should be put on the x-axis and force on the y-axis. The acceleration-time graph shows a horizontal line in the positive region of the graph (positive acceleration). To optimize the graphs for easier viewing click on the "A" (Auto-Size) button at the top of the screen. a=F/m (Newton's Second Law of Motion) HS-PS2-3. What does the slope of the graph represent ? 3. Note that in labeling your axes, it is important to put in the variable name, its symbol and its units all the time. Suppose you want a solid cylinder with mass 10 kg to reach the same acceleration the sphere has in question 11 when applying the same force of 40 N in both cases. This means that velocity and force are directly related. Make a graph the User-Entered set F vs. time graph (no number scale needed) for a ball rolling down a ramp. Draw the acceleration versus time graph. We justify this by writing "v(t) > 0 and a(t) < 0 means the object is slowing down. Time Graphs - GeoGebra Materials. If you graph F v Δx, you get the slope k. For such graphs, the area under the line is the work done by the force.