# 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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