Barron's 2nd Edition DT Q14

Barron's Book

14) Question 14 asks us to track the interval in which the object travels the furthest distance. We can do this by finding the integral(area under the curve) for our speed graph. The integral of the speed vs. time graph will give us our distance. However, the integral of a velocity vs. time graph will give us the displacement. Let's take a look at the integral of the given graph.

Here, it is apparent that the largest area under the curve is during interval B, so during interval B the ball travels the furthest distance.

Answer: B