By changing the ejection delay of the engine, we control how high the rocket is when it deploys parachutes:

deploy too early, and the rocket won$$t have reached its peak altitude yet; deploy too late, and the rocket might

become a lawn dart! We$$d like to visualize our sensitivity to this delay.

Implement the following function $($it should call your function rocketTime, and yes, you can call a function

within a function as long as they are under the same folder, or you provide the working directory before calling$)$:

function $[$delays$,$ times$]=$ delaySensitivity$($avgThrust$,$ maxDelay$)$

$\%$ Compute rocket flight times for a range of ejection delays.

$\%$ Engine is assumed to be B$-$class $(5$ N$*$s total impulse$)$ with an

$\%$ average thrust of avgThrust $[$N$].$

$\%$ delays is a vector of ejection delays $[$s$],$ running from $0$ s to

$\%$ maxDelay $[$s$]$ in increments of $0\mathrm{.}25$ s$.$

$\%$ times is a vector of rocket flight times, such that times$($k$)$ is how

$\%$ long the rocket was in the air when powered by an engine with an

$\%$ ejection delay of delays$($k$).$

Write a script, analyzeRocket.m$,$ that calls this function and plots the rocket$$s flight duration vs$.$ delay time

for delays as large as $7$ s$,$ using B$6$ engines $(6$ N average thrust$).$ Set the time step for this section to be $0\mathrm{.}001$ s$.$

Title the plot $$Sensitivity to ejection delay$$ and label the x and y axes appropriately $($with units, as always$).$

Write a comment in your script saying which delay you would choose to win the $$airborne duration$$ contest.