You will be using a coordinate system set up so that the origin is at home plate

Question

You will be using a coordinate system set up so that the origin is at home plate, with the y-axis extending out to center field and the z-axis pointing directly upward.

You will need to use MATLAB to compute the range of angles over which a baseball, hit with a current typical exit velocity, will be a home run. Use whole numbers for the degree measure of your angles. Your MATLAB program should also compute the horizontal distance (to the nearest foot) the ball will travel (y-max) for various angles.

Your MATLAB program should graph the trajectory, as seen in the y-z plane, of the angle that clears the fence by the largest amount. Your report should include the vector equation for the trajectory. Use MATLAB to compute the curvature, the unit tangent vector, and the unit normal vector at the moment the ball clears the fence.

You will then repeat this process using an exit speed that is 10% higher than the current speed, corresponding to use of a baseball bat made using your new material – produce a table and a graph.

Be sure to discuss the “impact” your bat might have on the game of baseball.

Your report should include all of the information you used in this project, any tables and figures you wish to include (which should be able to be reproducible using your m file), a description of the trajectories and the differences between the trajectories due to the two different bat materials, and your conclusions.

Explanation / Answer

script file:

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