**AP Calculus BC Question 191: Answer and Explanation**

### Test Information

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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

**Explanation:**

(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.