Please use MATLAB to answer questions

A solid fuel-sounding rocket whose case is 5 meters long (ignoring the nosecone and nozzle). The casing has an inner diameter of 67cm, and the propellant cavity has a circular cross-section with an initial diameter of 20cm. The propellant grain is a solid cylinder, minus this central cylinder cavity, for the whole height of the rocket casing.

Given:

Propellant density of = 1.7/3

Burn time of 60 seconds

Be sure to use = 9.81/ 2

QUESTIONS

1. Find the average surface recession rate , making sure to specify your units. Assume that the recession rate is constant throughout the whole burn.

2. Find the initial and final mass flow rates.

3. Plot the mass flow rate as a function of time, at 10-second intervals, using a style that shows the separate points on the plot in addition to a line.

4. Given a specific impulse of 190 s, find the thrust at burnout.

Please Keep the full precision of your math in the variables in Matlab, and then round at the end.