Chapter 8, Problem 17P

At time $t=0$, a moving vehicle is located at position $x=0$ and subjected to the acceleration $a\left(t\right)$ shown in Fig. P8.17.

(a) Knowing that $a\left(t\right)=L\frac{dv}{dt}$, sketch the velocity $v\left(t\right)$ if the initial velocity is $12\text{m/s}$.

(b) Knowing that $v\left(t\right)=\frac{dx}{dt}$, sketch the position $x\left(t\right)$ if the final position is $x=48\text{m}$.