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Problem of a projectile being launched at an angle of O at an initial velocity ofv. The equations for the height hand horizontallocation x as functions of time t are as follows:
h(t) = vtsin () -.5 gt2 2 x(t) = vtcos()
Write a MATLAB program to calculate and store h and x for time increments of 0.1 seconds for e = 20° and v = 200 feet per second. Use a value for g of 32.2 feet/s-. Continue to make the calculations until the projectile hits the ground. Use the plot command to create three graphs:
a. t along the horizontal axis, h along the vertical axis
b. t along the horizontal axis, x along the vertical axis
c. x along the horizontal axis, h along the vertical axis (this is a plot of the trajectory of the projectile)
You can either run the file three times, changing the values to be plotted each time, or you can include three separate plot commands. If you choose the latter option, insert the command figure on a separate line between plot commands. This will open a new plotting window, so the prior graph is not overwritten.
You will write functions • B=null basis(A,tol); • B=range basis(A,tol); The function null basis takes a matrix A as input, and outputs a basis for the null space of A, obtained via
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Illustrations of calling the function: Here are illustrations of calling the function: >> cylcost(32,73,4.50) ans = 661.5000 >> fprintf('The cost would be $%.2f\n'
Find the boundary between each two of the equations P1, P2, P3 by solving: P1 = P2 , P1 = P3 , P2 = P3 Plot the boundary lines on a single figure that also includes the
An FIR filter has coefficients b = [ 1.0000 -0.6387 1.0214 0.8210 -0.7470 1.0920 ] (a) Find H(z) for the filter and plot its frequency response (magnitude and phase
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Creating Column Vectors: One way to generate a column vector is by explicitly putting the values in square brackets, separated by the semicolons: >> c = [1; 2; 3; 4] c =
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