Please use matlab and show the calculation also thanks! Rocket is launched vertically with 100 liters of fuel tank ( with mass density of 0.98 kg/L). The fuel burns steadily at rate of 3 L/a and...

Please use matlab and show the calculation also thanks!

Rocket is launched vertically with 100 liters of fuel tank ( with mass density of 0.98 kg/L). The fuel burns steadily at rate of 3 L/a and provide thrust of 5900 N as it burns. The mass of rocket is 400 kg without the fuel, the rocket design causes the resistance proportional to velocity of 2 v(t) N. Find the following

1) How long will rocket burn?

2) Calculate the maximum height rocket reaches and also plot the rocket's altitude during the burn peroid.

3) After rocket reaches it max height rocket freefalls to the ground. Calculate the velocity over the freefall peroid and plot against time.

4) How long does rocket take to strike the ground and with what velocity does it hit the ground?