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When I push a swing the potentional energy converts into kinetic energy but then when the swing pushes me back does the kinetic energy get reconverted into potentional energy? Describe the energy cycle of the swing for me. Use equations

In a softball game, a .200 kg softball crossed the plate at 15 m/s at an angle of 30 degrees below the horizontal. The batter hits the ball toward the center field, giving it a velocity of 45 m/s at 60 degrees above the horizontal a) Determine the impulse delivered to the ball _______i +...