During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial speed v0 = 43 m/s at an angle θ = 15° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this problem.  Find the ball’s maximum vertical height hmax in meters above the ground.  Enter an expression in terms of v0, θ, and g for the time tmax it takes the ball to travel to its maximum vertical height.  Calculate the horizontal distance xmax in meters that the ball has traveled when it returns to ground level.

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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During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial speed v0 = 43 m/s at an angle θ = 15° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this problem.

 Find the ball’s maximum vertical height hmax in meters above the ground. 

Enter an expression in terms of v0θ, and g for the time tmax it takes the ball to travel to its maximum vertical height. 

Calculate the horizontal distance xmax in meters that the ball has traveled when it returns to ground level. 


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