Exercise
https://texercises.com/exercise/baseball-hit/
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Exercise:
A batter hits a fly ball which leaves the bat syO above the ground at an angle of alpO with an initial speed of vzO heading toward centerfield. How far from home palte would the ball land if not caught?

Solution:
Geg s_y syO sy alpha alp v_ vz GesDistances_xsim As in every throw the vertical motion determines the total time of motion! The ball has an initial vertical velocity of v_y v_ sinalpha vz sinalp vyz The time for the vertical motion therefore obeys the following quadratic : s_y fracgt^ + v_y t fracgt^ + v_y t-s_y This has the following two solutions: t_ ta t_ tb The second solution is the one corresponding to our problem. During this time the ball travels the following horizontal distance from the home plate: s_x v_x t_ v_ cosalpha t_ vz cosalp tb sx approx sxP
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Exercise:
A batter hits a fly ball which leaves the bat syO above the ground at an angle of alpO with an initial speed of vzO heading toward centerfield. How far from home palte would the ball land if not caught?

Solution:
Geg s_y syO sy alpha alp v_ vz GesDistances_xsim As in every throw the vertical motion determines the total time of motion! The ball has an initial vertical velocity of v_y v_ sinalpha vz sinalp vyz The time for the vertical motion therefore obeys the following quadratic : s_y fracgt^ + v_y t fracgt^ + v_y t-s_y This has the following two solutions: t_ ta t_ tb The second solution is the one corresponding to our problem. During this time the ball travels the following horizontal distance from the home plate: s_x v_x t_ v_ cosalpha t_ vz cosalp tb sx approx sxP
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Attributes & Decorations
Branches
Kinematics
Tags
baseball, fall, free, kinematics, mechanics, physics, throw, trajectory
Content image
Difficulty
(3, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link