A Baseball Player

A pitcher throws a baseball towards home plate, a distance of 18 m18 \text{ m} away, at v=40 m/sv = 40 \text{ m}/\text{s}. Suppose the batter takes .2s.2 \text {s} to react before swinging. In swinging, the batter accelerates the end of the bat from rest through 2 m2 \text{ m} at some constant acceleration aa. Assuming that the end of the bat hits the ball if it crosses the plate within .05 s. 05 \text{ s} of the ball crossing the plate, what is the minimum required aa in m/s2\text{m}/\text{s}^2 to the nearest tenth for the batter to hit the ball?

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