Force vs Time Collision: Find Speed of 66-g Tennis Ball

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The discussion revolves around calculating the speed of a 66-g tennis ball after it collides with a wall, given its initial velocity of 43.75 m/s. Participants note that the impulse can be determined from the area under the force versus time curve, which relates to the change in momentum. The impulse is expressed as the difference between final and initial momentum, leading to the equation impulse = (final momentum) - (initial momentum). To find the new velocity, one must divide the impulse by the mass of the ball, but clarification is sought on whether the problem requires just the difference in speeds or the final speed itself. The conversation emphasizes understanding the relationship between impulse, momentum, and velocity in collision scenarios.
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Homework Statement


The Figure shows an approximate representation of the contact force versus time during the collision of a 66-g tennis ball with a wall. The initial velocity of the ball is 4.375E+1 m/s perpendicular to the wall. What is the speed of the tennis ball after the collision?
(see attached)


Homework Equations





The Attempt at a Solution


Not sure how to start, I know the impulse is the area under the curve, that's all. Thanks
 

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And the impulse is also equal to the change in momentum.
 
Ok, having a real brain fart. What do I need to do with the impulse to get the new velocity?
 
impulse=(final momentum)-(initial momentum)
momentum=m*v
 
So just divide the Impulse by the mass?
 
If you just divide, you'll get the difference between the two speeds. Is the problem asking for just this?
 
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