Chapter 8, Problem 18P

A vehicle starling from rest at position $x=0$ is subjected to the acceleration $a\left(t\right)$ shown in fig. P8.18.

(a) Knowing that $a\left(t\right)=\frac{dv}{dt}$, sketch the velocity $v\left(t\right)$.

(b) Knowing that $v\left(t\right)=\frac{dx}{dt}$, sketch the position $x\left(t\right)$ if the final position is $x=60\text{m}$ Clearly indicate both its maximum and final values.