a) Create a function to solve a projectile problem where you are given initial x and y velocity, and the initial and final y position (inputs). You would like to use this function to find the final x and y velocity (outputs). This function will be used in the solution of the following problem.
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a) Create a function to solve a projectile problem where you are given initial x and y velocity, and the initial and final y position (inputs). You would like to use this function to find the final x and y velocity (outputs). This function will be used in the solution of the following problem.
b) In the figure below, belt A moves with a constant velocity of 5 ft/s, and discharges sand onto belt B as shown. Assume that the angle of belt B is 15 degrees as shown. Write a MATLAB program to determine the required velocity of belt B if the relative velocity with which the sand hits belt B is (a) vertical, and (b) as small as possible. For part (b), use MATLAB to create a plot of the velocity of the sand relative to belt B, as a function of the velocity of belt B. Verify (either by hand, or by using MATLAB) that the minimum shown in this plot corresponds to the point at which the velocity of the sand relative to belt B is perpendicular to the velocity of belt B.
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