25%) Baseball Trajectory Problem:a. A baseball is hit by Mickey Mantle, a New York Yankees baseball teammember, at a velocity of 100 miles/hour at an unknown angle from thehorizontal. The initial elevation of the ball is 3.0 feet above home plate(home plate coordinates: x=0, y=0) in Yankee Stadium in New York City. Thedistance from home plate to the outfield wall is 408 feet at center field. Theheight of the outfield wall is approximately 8 feet (It varies slightly acrossthe outfield). What is the angle (measured from the horizontal), expressedin degrees, that the ball must travel to just go over the outfield wall, butno higher? Assume the outfield wall has a negligible width. Note that severaliterative, experimental, and analytical methods exist for solving this particular problem.b. After you have obtained the correct angle, prove that the angle youdetermined is correct using the detailed calculations previously presentedin class, and calculate the exact time of travel to reach the wall from homeplate.
25%) Baseball Trajectory Problem:a. A baseball is hit by Mickey Mantle, a New York Yankees baseball teammember, at a velocity of 100 miles/hour at an unknown angle from thehorizontal. The initial elevation of the ball is 3.0 feet above home plate(home plate coordinates: x=0, y=0) in Yankee Stadium in New York City. Thedistance from home plate to the outfield wall is 408 feet at center field. Theheight of the outfield wall is approximately 8 feet (It varies slightly acrossthe outfield). What is the angle (measured from the horizontal), expressedin degrees, that the ball must travel to just go over the outfield wall, butno higher? Assume the outfield wall has a negligible width. Note that severaliterative, experimental, and analytical methods exist for solving this particular problem.b. After you have obtained the correct angle, prove that the angle youdetermined is correct using the detailed calculations previously presentedin class, and calculate the exact time of travel to reach the wall from homeplate.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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25%) Baseball Trajectory Problem:
a. A baseball is hit by Mickey Mantle, a New York Yankees baseball team
member, at a velocity of 100 miles/hour at an unknown angle from the
horizontal. The initial elevation of the ball is 3.0 feet above home plate
(home plate coordinates: x=0, y=0) in Yankee Stadium in New York City. The
distance from home plate to the outfield wall is 408 feet at center field. The
height of the outfield wall is approximately 8 feet (It varies slightly across
the outfield). What is the angle (measured from the horizontal), expressed
in degrees, that the ball must travel to just go over the outfield wall, but
no higher? Assume the outfield wall has a negligible width. Note that several
iterative, experimental, and analytical methods exist for solving this
a. A baseball is hit by Mickey Mantle, a New York Yankees baseball team
member, at a velocity of 100 miles/hour at an unknown angle from the
horizontal. The initial elevation of the ball is 3.0 feet above home plate
(home plate coordinates: x=0, y=0) in Yankee Stadium in New York City. The
distance from home plate to the outfield wall is 408 feet at center field. The
height of the outfield wall is approximately 8 feet (It varies slightly across
the outfield). What is the angle (measured from the horizontal), expressed
in degrees, that the ball must travel to just go over the outfield wall, but
no higher? Assume the outfield wall has a negligible width. Note that several
iterative, experimental, and analytical methods exist for solving this
particular problem.
b. After you have obtained the correct angle, prove that the angle you
determined is correct using the detailed calculations previously presented
in class, and calculate the exact time of travel to reach the wall from home
plate.
b. After you have obtained the correct angle, prove that the angle you
determined is correct using the detailed calculations previously presented
in class, and calculate the exact time of travel to reach the wall from home
plate.
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