Chapter 3, Problem 63A

To determine

The quantity that the area under a velocity-time graph represents.

Explanation of Solution

Introduction:

Relationship between velocity $\left(v\right)$ , time $\left(t\right)$ , acceleration $\left(a\right)$ and displacement $\left(s\right)$ is follows:

  $a=\frac{\Delta v}{\Delta t}$

  $s=vt$

From a velocity-time graph, the slope represents the acceleration. The area under the graph line represents the displacement.