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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.
Linspace function: Likewise, the linspace function generates a linearly spaced vector; linspace(x,y,n) generates a vector with n values in the inclusive range from x to y. For
Use the MATLAB randn function to generate 1000 points for x. Generate the output of the unknown system with the ?lter function and b=[1232 1] and a=[1]. Normalise the ?lter output
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Make a vector of 500 random numbers from a normal distribution with mean 2 and standard deviation 5(randn). a After you generate the vector, verify that the sample mean and stan
Write a Matlab function that computes y1= tan(x) and y2= sin(x)/cos(x), returns the difference |y1–y2| and prints a message whether the two are equal or not. Test your function for
Expand a matrix: To expand a matrix, an individual element could not be added as that would mean there would no longer be the similar number of values in every row. Though,
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Passing Multiple Arguments: In many situaion it is essential to pass more than one argument to the function. For illustration, the volume of a cone is given by here r
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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