Chapter 8.1, Problem 31E

To determine

Whether the given statement is True or False.

Answer to Problem 31E

The given statement is False.

Explanation of Solution

Given information:

The figure shows the velocity for a particle moving along the x-axis. The displacement for this particle is negative.

  

If the displacement of the particle is negative, then the integral of the function over the given domain would have to be negative.

However, if we find the area bounded by the function and x-axis the total displacement is calculated to be $\frac{3}{2}$ .

Therefore, the given statement is False.