Question: solve Problem 3: Projectile Motion Kinematics (from 2013 Final Exam) h D you tower You are standing a given horizontal distance D from the base

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Problem 3: Projectile Motion Kinematics (from 2013 Final Exam) h D you tower You are standing a given horizontal distance D from the base of the Leaning Tower of Pisa which has a given height h. Assume that your height and the diameter of the tower and the de- flection of the tower are all negligible compared to the height of the tower. Neglect air resistance. At what speed up and at what angle 0 relative to the horizontal should you throw the ball so that the ball just barely clears the top of the tower at its maximum height, as shown? Give your answers in terms of given parameters only. Explain your work. Important Hints: See if you can come up with an expression for the time that the ball takes to get to the top, and then see if you can use this to calculate first u, and then vo corresponding to the vertical and horizontal components of the initial velocity vector. Once you have these, work out the magnitude and direction of the initial velocity vo

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