AP Calculus BC Question 191: Answer and Explanation
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1. The graph below shows the velocity of an object moving along a line, for 0 ≤ t ≤ 9.
The object is farthest from the starting point at t =
- A. 2
- B. 5
- C. 6
- D. 8
Correct Answer: C
(C) Velocity v is the derivative of position; because v > 0 until t = 6 and v < 0 thereafter, the position increases until t = 6 and then decreases; since the area bounded by the curve above the axis is largerthan the area below the axis, the object is farthest from its starting point at t = 6.