Calculate Matt's Landing Speed on a Skateboard | Mass & Velocity Included"

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In the discussion titled "Calculate Matt's Landing Speed on a Skateboard | Mass & Velocity Included," participants analyze the momentum of Matt and his skateboard. Matt glides at 4.00 m/s and jumps backward, propelling the skateboard forward at 8.00 m/s. Using the principle of conservation of momentum, the final speed of Matt as he lands is calculated to be 3.44 m/s. This conclusion is reached by equating initial and final momentum, confirming the calculations with specific mass values of 50 kg for Matt and 7 kg for the skateboard.

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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?

This what I did:
P_f = P_i

v_f(50kg + 7kg) = 50kg*4m/s + 7kg*4m/s
v_f = 4.49m/s ?
 
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Hmmm, not sure what you did.
The initial momentum you calculated looks correct: (50+7)*4. But the total final momentum is Vf*50+7*8, where vf is the speed of Matt. Solving for Vf, I get 3.44 m/s. I'm probably wrong though.
 

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