What is the final velocity of a bouncing ball after hitting a wall?

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SUMMARY

The final velocity of a bouncing ball after hitting a wall can be determined using the conservation of momentum principle. When a ball of mass m1 and initial velocity v1 collides with a massive wall (mass M), the equation m1v1 = m1v2 + MV holds true under the condition that v1 = -v2 and V = 0. This indicates that the wall's mass is so large that its velocity change is negligible, effectively allowing it to remain stationary while the ball reverses direction. The analysis confirms that as the wall's mass approaches infinity, the momentum conservation equation remains valid.

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imsmooth
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I've seen the solution to finding the velocity after a ball bounces off of a wall.
http://www.lhup.edu/~dsimanek/ideas/bounce.htm

If a ball of mass m1 and velocity v1 hit a massive wall, what is the final velocity. I understand the math. What I find a little confusing is reconciling the math and how the equation
m1v1 = m1v2 + MV satisfies conservation of momentum if v1 = -v2 and V = 0.

Is it that the massive wall of mass M moves will an infinitesimally small velocity such that MV balances the
-2m1v2?
 
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Yes, you can see this by solving it for a finite M and then taking the limit as M goes to infinity.
 

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