Impulse from basket ball against ground at an angle

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SUMMARY

The discussion focuses on calculating the impulse delivered to a basketball by the court when it rebounds after hitting the ground. The basketball, weighing 0.60 kg, strikes the court at a speed of 6.5 m/s at a 50° angle from the vertical and rebounds with the same speed and angle. The key conclusion is that while there is no change in the horizontal (x) component of velocity, the vertical (y) component does change direction, resulting in a total change in velocity of -2v for the y component. Therefore, the impulse can be calculated using the change in momentum based on the vertical component of the velocity.

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  • Understanding of impulse and momentum concepts
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  • Familiarity with basic equations of motion
  • Ability to perform calculations involving angles and trigonometric functions
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  • Calculate the vertical component of the basketball's velocity using trigonometric functions
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  • Study the effects of angle and speed on impulse in different contexts
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Homework Statement



To basketball player bounces the 0.60-kg basketball to another player by bouncing it off the court. The ball hits the court with a speed of 6.5 m/s at an angle of 50° from the vertical. If the ball rebounds with the same speed and angle, what was the impulse delivered to it by the court?


Homework Equations



I know that Impulse is the change in momentum, or the force times the change in time.

The Attempt at a Solution



I cannot figure out how to find the Impulse with simply the velocity an angles. Is there a change in momentum if all it does is change direction? If so, how do I use the angles to calculate the change?
I try doing the x/y components of the velocity but it seems to cancel out.
 
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You must use xy components. There is no change in the x velocity, so no impulse. But there is a change in the y velocity - it reverses direction so you'll have something like Δv = -v - v = -2v. Of course you know the number for v, the vertical component of the 6.5 m/s.
 

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