A basketball player shoots a free-throw with initial velocity v0 = 4.5 m/s at an angle θ = 29° 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. Determine the maximum vertical height hmax, in meters, the ball attains above the release point. hmax = Determine the time, t in seconds, the basketball takes to reach its maximum vertical height. t =

A basketball player shoots a free-throw with initial velocity v0 = 4.5 m/s at an angle θ = 29° 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. Determine the maximum vertical height hmax, in meters, the ball attains above the release point. hmax = Determine the time, t in seconds, the basketball takes to reach its maximum vertical height. t =

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Question

A basketball player shoots a free-throw with initial velocity v₀ = 4.5 m/s at an angle θ = 29° 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.

Determine the maximum vertical height h_max, in meters, the ball attains above the release point.

h_max =

Determine the time, t in seconds, the basketball takes to reach its maximum vertical height.

t =

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