A function \(v\) describes the velocity of a car (in mi/hr) moving along a straight highway for a 4 hour interval. The graph of \(v\) is given below.

Use geometry to calculate the following displacements.

\begin{align*} s(1)-s(0) &= \answer {10}\text {mi}\\ s(2)-s(0) &= \answer {30}\text {mi}\\ s(3)-s(0) &= \answer {45}\text {mi}\\ s(4)-s(0) &= \answer {50}\text {mi} \end{align*}