The best batter

You are in the batter's box in an intermural baseball game. Suppose that the pitcher throws a fast ball at you parallel to the ground, and you hit the ball when its velocity is \( 35 \text{ m/s} \). Then the ball flies to a height of \( 62.5 \text{ m} \) above the ground. Find the approximate average force acting on the ball when the contact duration is \( \frac{1}{50} \text{ s} \) and the mass of the ball is \( 0.12 \text{ kg.} \)

Gravitational acceleration is \(g = 10 \text{ m/s}^2 .\)

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