A rocket is launched from rest at time t$=0$ and is given an acceleration which varies with time as shown in the

following figure. Use this information to answer questions $2$ and $3$ below. PLEASE HELP WITH BOTH PROBLEMS. THANK YOU

$2.)$What is the rocket's velocity $($speed$)$ after $50$ seconds of straight line vertical flight?

A$)200f\frac{t}{s}$

B$)400f\frac{t}{s}$

C$)500f\frac{t}{s}$

D$)600f\frac{t}{s}$

$3.)$What is the rocket's height $"$h$"$ after $15$ seconds of straight line vertical flight?

A$)281\mathrm{.}3$ ft

B$)196\mathrm{.}3$ ft

c$)145\mathrm{.}3$ ft

D$)83\mathrm{.}33$ f