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Consider the following scenario where you are shooting a free throw on a basketball court (neglecting air friction and wind resistance): a free throw

Consider the following scenario where you are shooting a free throw on a basketball court (neglecting air friction and wind resistance): a free throw is 15 feet away from the basket on a basketball court. You shoot the basketball towards the basket from an initial height of yo= (5.5+ d/30) feet, at an initial launch angle, measured in radians, of 0o = (-0.03yo+1.1), with an initial velocity of vo= (-0.8yo +30) feet per second. These dimensions should guarantee a made free throw (check if it passes through or very near the point (0,10) for a made shot). Use the projectile motion equations given below to define a two-dimensional parametric system in MATLAB for your made shot and plot the trajectory of the ball for 0 st s 1.5 seconds (figure 1). x(t)= (vocos (0o))t 15 y(t) 16t2 + (vosin (0o))t + yo

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