Drums And Cymbals

Clear Batter

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A batter hits a baseball 3 ft above the ground toward the center field...?

A batter hits a baseball 3 ft above the ground toward the center field fence, which is 14 ft high and 400 ft from home plate. The ball leaves the bat with speed 114 ft/s at an angle 48° above the horizontal. Is it a home run? (In other words, does the ball clear the fence?) (Use the value g=32 ft/sec^2 for the acceleration due to gravity.) Yes or No?
How high is the ball above the ground when it reaches the fence?

t = d/v
= 400ft /[114 ft/s * cos 48]

h = h_i + v *t - 1/2 g t^2

= 3 ft + (114 ft/s * sin 48) * t - 1/2 * 32 ft/s^2 * t^2

I solved this once before, but Y!A deleted my answer and said "Oops".
I got an answer of 7.5 ft which means it won't clear the fence. I leave it to you to redo the math.

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A batter hits a baseball 3 ft above the ground toward the center field...?

A batter hits a baseball 3 ft above the ground toward the center field fence, which is 14 ft high and 400 ft from home plate. The ball leaves the bat with speed 114 ft/s at an angle 48° above the horizontal. Is it a home run? (In other words, does the ball clear the fence?) (Use the value g=32 ft/sec^2 for the acceleration due to gravity.) Yes or No?
How high is the ball above the ground when it reaches the fence?

t = d/v
= 400ft /[114 ft/s * cos 48]

h = h_i + v *t - 1/2 g t^2

= 3 ft + (114 ft/s * sin 48) * t - 1/2 * 32 ft/s^2 * t^2

I solved this once before, but Y!A deleted my answer and said "Oops".
I got an answer of 7.5 ft which means it won't clear the fence. I leave it to you to redo the math.

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