During a baseball game, a baseball is struck, at ground level, by a batter. The ball leaves the baseball bat with an initial speed of v0=46.7m/s at an angle θ=21.5∘ above the horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Ignore air resistance throughout this problem. Enter an expression in terms of v0, θ, and g for the time it takes the ball to travel to its maximum vertical height.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.3P: If a projectile is fired from the origin of the coordinate system with an initial velocity υ0 and in...
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 During a baseball game, a baseball is struck, at ground level, by a batter.

The ball leaves the baseball bat with an initial speed of v0=46.7m/s at an angle θ=21.5∘ above the horizontal.

Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat.

Ignore air resistance throughout this problem.

Enter an expression in terms of v0, θ, and g for the time it takes the ball to travel to its maximum vertical height. 

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