AP Calculus BC Question 191: Answer and Explanation

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Question: 191

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.