Chapter 8, Problem 7P

The motion of a particle in the vertical plane is shown in Fig. P8.7. The height of the particle is given by

$y\left(t\right)=t^3-12t^2+36t+20\text{m}$.

(a) Find the values of position and acceleration when the velocity is zero.

(b) Use your results in part (a) to sketch $y\left(t\right)\text{ for }0\le t\le 9s$.