Matt's Momentum After Jumping from Skateboard

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The discussion centers on a physics problem involving conservation of momentum as Matt jumps off his skateboard. Matt is initially gliding at 4.00 m/s, and upon jumping backward, he kicks the skateboard forward at 8.00 m/s. The relevant equation for momentum conservation is p_final = p_initial, which leads to calculating the final velocities of both Matt and the skateboard. The initial momentum is calculated using their combined masses and velocities, resulting in a final velocity of approximately 4.49 m/s for the system. The conversation emphasizes the application of momentum conservation principles to solve the problem effectively.
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Matt is gliding on his skateboard at 4.00 m/s. He suddenly jumps backward off the skateboard, kicking the skateboard forward at 8.00 m/s. Matt's mass is 50 kg and the skateboard's mass is 7 kg. How fast is Matt going as his feet hit the ground?

I have no idea where to begin. Should I first find the change in momentum?
 
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All you have to do is use conservation of momentum:

p_{final} = p_{initial}
 
Is this right

BLaH! said:
All you have to do is use conservation of momentum:

p_{final} = p_{initial}

v_f(50kg + 7kg) = 50kg*4m/s + 7kg*4m/s
v_f = 4.49m/s ?
 

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