Chapter 2, Problem 15P

A model rocket is launched in the vertical plane at time $t=0$ s as shown in Fig. P2.15. The height of the rocket (in feet) satisfies the quadratic equation $h\left(t\right)=64t-16t^2$.

(a) Find the value(s) of the time t when $h\left(t\right)=48\text{ft}$.

(b) Find the value(s) of the time t when $h\left(t\right)=60\text{ft}$. (c) Find the time required for the rocket to hit the ground.

(d) Based on your solution to tarts (a) through (c), determine the maximum height of the rocket and sketch the height h(t).