A baseball is hit from 3 ft above home plate with an initial velocity in ft/s of v(0) =< u0, v0 >=< 80, 80 >. Neglect all forces other than gravity. (a) Find the position and velocity of the ball between the time it is hit and the time it hits the ground; (b) Show that the trajectory of the ball is a segment of a parabola; (c) How far does the ball travel horizontally? (c) What is the maximum height of the ball? (d) Does the ball clear a 20-ft fence that is 380 ft from home plate?

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter4: Motion In Two And Three Dimensions
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A baseball is hit from 3 ft above home plate with an initial velocity in ft/s of v(0) =<
u0, v0 >=< 80, 80 >. Neglect all forces other than gravity. (a) Find the position and
velocity of the ball between the time it is hit and the time it hits the ground; (b) Show
that the trajectory of the ball is a segment of a parabola; (c) How far does the ball
travel horizontally? (c) What is the maximum height of the ball? (d) Does the ball
clear a 20-ft fence that is 380 ft from home plate?

 

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