A basketball player shoots a free-throw with initial velocity v0 = 8.5 m/s at an angle θ = 18° above the horizontal. Use a Cartesian coordinate system with the origin located at the position the ball was released, with the ball’s horizontal velocity in the positive x direction and vertical component in the positive y-direction. Assume the basketball encounters no air resistance.
A basketball player shoots a free-throw with initial velocity v0 = 8.5 m/s at an angle θ = 18° above the horizontal. Use a Cartesian coordinate system with the origin located at the position the ball was released, with the ball’s horizontal velocity in the positive x direction and vertical component in the positive y-direction. Assume the basketball encounters no air resistance.
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
Section: Chapter Questions
Problem 47P: A basketball player is standing on the floor 10.0 m from the basket as in Figure P3.47. The height...
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A basketball player shoots a free-throw with initial velocity v0 = 8.5 m/s at an angle θ = 18° above the horizontal. Use a Cartesian coordinate system with the origin located at the position the ball was released, with the ball’s horizontal velocity in the positive x direction and vertical component in the positive y-direction. Assume the basketball encounters no air resistance.
a). What is the maximum vertical height hmax, in meters, the ball attains above the release point.
b). Determine the time, t in seconds, the basketball takes to reach its maximum vertical height.
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