Baseball Problem - Determine Speed of Ball After Impact

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The discussion revolves around calculating the speed of a baseball after it is hit by a bat, given its initial speed and the work done by the bat. The initial kinetic energy (KE) of the baseball is calculated to be 310.36 J. Participants suggest breaking down the kinetic energy to find the initial velocity and using kinematic equations to determine the final speed after impact. The focus is on applying physics principles to solve the problem effectively. The conversation emphasizes the importance of understanding energy transfer in the context of baseball dynamics.
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A pitcher throws a 0.126-kg baseball, and it approaches the bat at a speed of 32.6 m/s. The bat does 71.7 J of work on the ball in hitting it. Ignoring air resistance, determine the speed of the ball after the ball leaves the bat and is 29.6 m above the point of impact.

i found that the initial KE is 310.36 and I'm not sure where to go from there can someone help? thanks!
 
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Break up the kinetic energy in order to get the initial velocity. Use the kinematic equations to solve the rest.
 

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