A rocket launches with an initial mass of 10,000 kg, an acceleration due to the

Question

A rocket launches with an initial mass of 10,000 kg, an acceleration due to the rocket of 20 m/sec 2, and 4,000 kg of fuel. It burns 50 kg of fuel each second. Write a MATLAB program to calculate and plot its velocity versus time. Things to consider Use a "for loop" with a nested "if statement" or a "while" statement to loop through time Use the physics equations for velocity and acceleration Remember to include the force of gravity . Remember to stop firing the rocket when you run out of fuel Your program must output the final velocity to the screen (use the "fprintf" or "disp" commands.) and make a plot

Explanation / Answer

The matlab script for this problem is

***************************************************************

%Declare variables

k = 5;

mv = 14000;

mv0 = 10000;

g = 9.8;

%Loop until time

for t= 1:10

   

    %Define velocity

    u = k*log(mv/mv0)+(g*t)

end

%Define final time

t = 10;

%Display final velocity

fprintf('The final velocity is %f',k*log(mv/mv0)+(g*t))

%Plot graph

plot(u,t)

***************************************************************************************

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