A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed 115ft/s at an angle 50 above the horizontal. Is it a home run? (In other words, does the ball clear the fence?)

Question

A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10  ft high and 400 ft from home plate. The ball leaves the bat with speed 115ft/s at an angle 50  above the horizontal. Is it a home run? (In other words, does the ball clear the fence?)

Bosnian · Accepted Answer

Paste your question in google. When you see list of results go on: [PDF] Section 14.4, Problem 28 - Illinois You will see solution with explanation.

oobleck · Answer

Recall your equation of motion y(x) = 3 + (tanθ)x - g/(2(v cosθ)^2) x^2 Now just plug in your numbers and find whether y(400) > 10