Chapter 8, Problem 20P

A vehicle starling from rest at position $x=0$ is subjected to the acceleration $a\left(t\right)$ :

(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 final position $x=260\text{m}$. Clearly indicate both its maximum and final values.