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Graphical Analysis of Motion 1. The velocity of an automobile changes over an 8 sec time period as shown in Table 1 below. a. Plot the velocity-time graph of the motion. b. Determine the distance the car travels during the first 2 sec. c. What distance does the car travel during the first 4 sec? d. What distance does the car travel during the entire 8 sec? e. Find the slope of the line between t = 0 sec. and t = 4.0 sec. What does this slope represent? f. Find the slope of the line between t = 5.0 sec. And t = 7.0 sec. What does this slope indicate? Time (s) 0.0 1.0 2.0 3.0 4.0 Table 1 Velocity (m/s) 0.0 4.0 8.0 12.0 16.0 Time (s) 5.0 6.0 7.0 8.0 Velocity (m/s) 20.0 20.0 20.0 20.0 2. Using the “Free-Fall” equation vf = vo + gt complete the following Table if an object falls from rest: (Note: g = +10 m/s in this case) Time (s) Final Velocity (vf - m/s) 0 1 2 3 4 5 a. Use the data in the table to plot a velocity-time graph. b. What does the total area under the curve represent? Position Time Time Time Figure 5 Position Acceleration Figure 4 Figure 3 Velocity Figure 2 Velocity Figure 1 Time Time 3. Look at Figure 1. a. What kind of motion does this graph represent? b. What does the slope of the graph represent? 4. Look at Figure 2. a. What kind of motion does this graph represent? b. What does the area under the curve of the graph represent? 5. Look at Figure 3. a. What kind of motion does this graph represent? b. What does the slope of the graph represent? c. What does the area under the curve of the graph represent? 6. Look at Figure 4. What does the area under the curve of this graph represent? 7. Look at Figure 5, which is a position-time graph of uniform acceleration. a. What type of curve does this graph represent? b. What does the slope of the line taken at a point represent? c. How would slopes taken at higher points on the line differ from those taken at lower points? D E F Position C B G H A Time Use the intervals marked on the graph above to describe the motion of an object. A to B: B to C: C to D: D to E: E to F: F to G: G to H: How far is the object from home at H?