Chapter 3.6, Problem 6SP

(a)

To determine

To calculate: A model to express the vertical position $s\left(t\right)$ (in ft) of the rocket $t$ second after launch, if initial vertical position, $s_0\left(t\right)=5\text{ft}$ and the initial velocity, $v_0=80\text{ft/sec}$ and the gravity is $g=32{\text{ft/sec}}^{\text{2}}$.

(b)

To determine

To calculate: Time at which the rocket is above a height of $50\text{ft}$, if e initial vertical position, $s_0\left(t\right)=5\text{ft}$ and the initial velocity, $v_0=80\text{ft/sec}$ and the gravity is $g=32{\text{ft/sec}}^{\text{2}}$.