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Change in momentum when a body is thrown up and falls back down.

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Say, a body of mass 'm' is thrown at a certain angle with the vertical with certain initial velocity 'u'.
The initial momentum of this object is mu.
Am I right to say that if it spent 't' seconds in flight and came back, its final velocity will still be 'u'?
And the change in momentum will be mu-(-mu)=2mu?
And would this be correct or not:
F=dp/dt
=>dp=F*dt
Since F=mg and dt=t, change in momentum=mgt?
One of these has to be wrong. I don't know which one.

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