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Section 14.4, Problem 28 - Illinois
You will see solution with explanation.
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?)
2 answers
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
y(x) = 3 + (tanθ)x - g/(2(v cosθ)^2) x^2
Now just plug in your numbers and find whether
y(400) > 10