A basketball is shot from an initial height of 2.40 m (Figure 1) with an initial speed v = 9 m/s directed at an angle θ = 35˚ above the horizontal. How far from the basket was the player if he made a basket? At what angle to the horizontal did the ball enter the basket?
A basketball is shot from an initial height of 2.40 m (Figure 1) with an initial speed v = 9 m/s directed at an angle θ = 35˚ above the horizontal. How far from the basket was the player if he made a basket? At what angle to the horizontal did the ball enter the basket?
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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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A basketball is shot from an initial height of 2.40 m (Figure 1) with an initial speed v = 9 m/s directed at an angle θ = 35˚ above the horizontal.
How far from the basket was the player if he made a basket?
At what angle to the horizontal did the ball enter the basket?
Transcribed Image Text:The image shows a basketball player attempting to make a shot. The player is standing 2.40 meters tall, and the basketball hoop is 10 feet (3.05 meters) high.
The diagram illustrates the trajectory of the basketball with the following components:
- **Initial Velocity (\(v_0\))**: The speed at which the ball is thrown.
- **Launch Angle (\(\theta_0\))**: The angle at which the ball is projected relative to the horizontal.
- **Horizontal Distance (x = ?)**: The unknown horizontal distance the ball travels to reach the hoop.
The ball follows a curved, parabolic path from the player's hand to the basketball hoop, depicting projectile motion. The goal is to determine the necessary launch parameters to successfully make the shot.
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