A baseball player wants to hit a home run over the wall of a stadium. He hits the ball 0.751 m above the ground with at an angle of 30 degrees above the horizontal and a speed of 37.5 m/s. What is the tallest wall the player can clear if the wall is 150 m away?

Question

Physics

Summer Downs

7 February, 10:22

A baseball player wants to hit a home run over the wall of a stadium. He hits the ball 0.751 m above the ground with at an angle of 30 degrees above the horizontal and a speed of 37.5 m/s. What is the tallest wall the player can clear if the wall is 150 m away?

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Timothy Mcneil · Answer 1

The baseball does not reach the wall, because the ball falls at 125.33 meters and the wall is at 150 meters

Explanation:

V = 37.5 m/s

α = 30º

g = 9.8 m/s²

Vx = V * cos (30º) = 32.47 m/s

Vy = V * sin (30º) = 18.75 m/s

flytime of the baseball:

t = 2 * Vy/g

t = 3.86 sec

distance of baseball fall:

d = Vx * t

d = 125.33 m