Velocity Time Graph & Average Acceleration | 1998 FRQ 3A-C

📚✏️ Ace your AP Calculus exam with this in-depth walkthrough of AP Calculus AB 1998 FRQ 3A-C:
3. The graph of the velocity v(t), in ft/sec, of a car traveling on a straight road, for 0 ≤ t ≤ 50, is shown above. A table of values for v(t), at 5 second intervals of time t, is shown to the right of the graph.
(a) During what intervals of time is the acceleration of the car positive? Give a reason for your answer.
(b) Find the average acceleration of the car, in ft/sec2, over the interval 0 ≤ t ≤ 50.
(c) Find one approximation for the acceleration of the car, in ft/sec2, at t = 40. Show the computations you used to arrive at your answer.
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