Question #102289

A home run is hit in such a way that the baseball just clears a wall 20.0 m high, located 136 m from home plate. The ball is hit at an angle of 37.0° to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.)

Expert's answer

We need to find the initial speed of the ball.

The time to reach the fence is

"y=y_0+v\\sin{37}t-0.5gt^2"

"20=1+v\\sin{37}\\left(\\frac{136}{v\\cos{37}}\\right)-0.5(9.8)\\left(\\frac{136}{v\\cos{37}}\\right)^2"

"v=41.3\\frac{m}{s}"

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