Q$.2($HW#$7)$

A rocket is launched vertically. At time $=0,$ when the rocket's engine shuts down, the rocket has reached an altitude of $h_0$ and is moving with a velocity of $V_0\frac{m}{s}.$ The height the rocket as function of time is:

$h=-\frac{g}{2}{t}^2+V_{0}t+h_0$

$($a$)$ Use input command to prompt the user to enter the following parameters: $V_0=125\frac{m}{s},h_0=500m$ and $g=9\mathrm{.}8\frac{m}{s^2}.$

$($b$)$ Create a MATLAB function called 'rocket' to calculate the height of the rocket and plot the height versus time from $0$ to $35s$ with an increment of $0\mathrm{.}2s.$

$($c$)$ Use the ginput command to find the time when the rocket starts to fall back to the ground and the time when it hits the ground. Use disp and fprintf commands to display the results as follow: "the rocket starts to fall back at $t=$dots $"$; "the rocket hits the ground at $t=$dots $"$