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?
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?
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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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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