SOLVE USING MATLAB A cannon is fired on level ground. Allow the user to input th

Question

SOLVE USING MATLAB

A cannon is fired on level ground. Allow the user to input the initial total velocity v0 and initial elevation angle theta in degrees (0 degrees = cannon fired horizontally, 90 degrees = cannon fired straight up). Output the x and y position of the cannon ball from 0 seconds to 1 second in increments of 0.1 seconds in a nice table format with three columns. Your output should look similar to the following table:

time x y

0 0 0

0.1 1.21 2.28

0.2 2.42 4.18

(and so on until t = 1.0)

Remember that theta should be in radians for use in trigonometic functions, not degrees. Assume the initial position is (x,y) = (0,0). The vertical acceleration due to gravity is -9.8 m/s2.

Explanation / Answer

The loop in the program uses the input taken from the user to calculate the position as a function of time .. based of newton's laws of motion. The caculated data is display as a vector.

prompt = 'Enter Initial Velocity ';
u = input(prompt);
prompt = 'Enter Initial Angle of Elevation ';
theta = input(prompt);
for time = 0:0.1:1
ux = u*cos(theta);
uy = u*sin(theta);
pos_x = ux * time ;
pos_y = uy * time - 0.5 * 9.8 * time * time ;
X = [time , pos_x , pos_y];
disp(X);
end

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