A home run is hit in such a way that the baseball justclears a wall 21 m high, located 130 m from home plate.The ball is hit at an angle of 35° to the horizontal, and airresistance is negligible. Find (a) the initial speed of the ball,(b) the time it takes the ball to reach the wall, and (c) thevelocity components and the speed of the ball when it reachesthe wall. (Assume the ball is hit at a height of 1.0 m above theground.)

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Asked Dec 17, 2019
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A home run is hit in such a way that the baseball just
clears a wall 21 m high, located 130 m from home plate.
The ball is hit at an angle of 35° to the horizontal, and air
resistance is negligible. Find (a) the initial speed of the ball,
(b) the time it takes the ball to reach the wall, and (c) the
velocity components and the speed of the ball when it reaches
the wall. (Assume the ball is hit at a height of 1.0 m above the
ground.)

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Expert Answer

Step 1

(a) The time to reach the fence is

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Δι Vox Ar V% cose 130 m V, cos35° 159 m [1]

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Step 2

At this time, the ball must 20m (21m – 1m) above its launch position, use the kinematic equation to solve for the initial speed of the ball.

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Ay = vo,t 2 + - 159m (9.8m/s*) Vo 159m 20m = (v, sin35°) [2] Vo = 42 m/s

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Step 3

(b) Use equation (1) to find the time take...

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159m t = 42m/s [3] = 3.8s

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