The trajectory of an object can be modeled as y = tan (8)x g 2v cos² (0) -x² + yo = where y = elevation (m), 0 = initial or launch angle (rad), x = horizontal distance or range (m), g gravitational acceleration (9.81 m/s²), v= initial velocity (m/s), and yo = initial elevation (m). Program Python to find the trajectories for yo = 0 m and vo = 28 m/s for launch angles ranging from 15° to 75° in increments of 15°. Employ a range of horizontal distances from 0 to 80 m in increments of 5 m. The results should be assembled in a matrix where the first dimension, the rows, correspond to the distances and the second dimension, the columns, correspond to the launch angles. Use this matrix to generate a plot of a family of curves of y versus x for the launch angles. Style each curve differently and include a legend describing the launch angles. As required, adjust the y-axis scale so the minimum is zero meters. Include grid lines.

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