The trajectory of an object can be modeled as y = (tan 0)x g 2v2 0 cos20 x2 + y0 where y

Chapter 2, Problem 2.19

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The trajectory of an object can be modeled as y = (tan 0)x g 2v2 0 cos20 x2 + y0 where y = height (m), 0 = initial angle (radians), x = horizontal distance (m), g = gravitational acceleration (= 9.81 m/s2 ), v0 = initial velocity (m/s), and y0 = initial height. Use MATLAB to find the trajectories for y0 = 0 and v0 = 28 m/s for initial angles ranging from 15 to 75 in increments of 15. Employ a range of horizontal distances from x = 0 to 80 m in increments of 5 m. The results should be assembled in an array where the first dimension (rows) corresponds to the distances, and the second dimension (columns) corresponds to the different initial angles. Use this matrix to generate a single plot of the heights versus horizontal distances for each of the initial angles. Employ a legend to distinguish among the different cases, and scale the plot so that the minimum height is zero using the axis command.