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?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section3.4: Analysis Model: Particle In Uniform Circular Motion
Problem 3.4QQ: Which of the following correctly describes the centripetal acceleration vector for a particle moving...
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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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