When does initial and final speed come into play when calculating momentum?

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daygobaker
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im having trouble find out when exactly is the intial speed and final speed when dealing with momentum...for example: i bounce ball...im using the conservation momentum equation and understanding what the initial and final is making me confused...
 
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Please provide a specific example so you can point out exactly where the trouble is. (It's not clear to me why you'd apply conservation of momentum to a bounced ball.)