A basketball point guard shoot a free-throw with initial velocity vo= 6.5 m/s at an angle theta = 33 degrees above the horizontal. Use a Cartisian coordinate system with the origin located at the position at the ball was released, with the balls horizontal velocity in the position X direction and vertical component in the positive Y direction. Assume the basketball encounters no air resistance. (A) create an expression for the basketball initial velocity vector, vo, in rectangular form in terms of i, j, vo, theta, and g. (B) determine the maximum vertical height h max, in meters, The ball attains above the release point. (C) what is the acceleration vector, a comma in meters per square second?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A basketball point guard shoot a free-throw with initial velocity vo= 6.5 m/s at an angle theta = 33 degrees above the horizontal. Use a Cartisian coordinate system with the origin located at the position at the ball was released, with the balls horizontal velocity in the position X direction and vertical component in the positive Y direction. Assume the basketball encounters no air resistance. (A) create an expression for the basketball initial velocity vector, vo, in rectangular form in terms of i, j, vo, theta, and g. (B) determine the maximum vertical height h max, in meters, The ball attains above the release point. (C) what is the acceleration vector, a comma in meters per square second? (D) Express the time, t, the basketball takes to reach its maximum vertical height in terms of vo, theta, and g. (E) determine the time, T in seconds, the basketball takes to reach its maximum vertical height. 
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