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Assume that the maximum horizontal distance you can throw a baseball (m = 0.145 kg) at...

Assume that the maximum horizontal distance you can throw a baseball (m = 0.145 kg) at an angle of α0 = 45∘ above the horizontal is 25 m.

Part A) What is the kinetic energy of the baseball just after it leaves your hand? Ignore air resistance and the small distance the ball is above the ground when it leaves your hand. Take the zero of potential energy to be at the ground.

Part B) At the ball's maximum height, what fraction of its total mechanical energy is kinetic energy and what fraction is gravitational potential energy?

Part C) If you throw the baseball at an initial angle of 60∘ above the horizontal, at its maximum height what fraction of its total energy is kinetic energy and what fraction is gravitational potential energy?

Part D) What fraction of the total mechanical energy is kinetic energy at the maximum height in the limiting cases of α0 = 0∘ and α0 = 90∘?

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