Chapter 8, Problem 15P

A vehicle starts from rest at position x = 0. The velocity of the vehicle for the next 8 seconds is shown in Fig. P8.15.

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

(b) Knowing that $v\left(t\right)=\frac{dx}{dt}$, sketch the position $x\left(t\right)$ if the minimum position is x = 16 m and the final position is x = 0.