A50 kg boy runs and jumps with a forward velocity of 1.5 m/s into a 125 kg stationary boat. what is the final velocity of the boy/boat system? 0.43 m/s, forward 0.43 m/s, backward 1.1 m/s, forward 1.1 m/s, backwar

0.43 m/s forward

Explanation:

the total momentum of the system boy+boat must be conserved before and after the "collision".

The total momentum before the collision is just the momentum of the boy, since the boat is initially stationary:

The total momentum after the collision is:

where

m=50 kg is the mass of the boy

M=125 kg is the mass of the boat

v is their final combined velocity

Using conservation of momentum, , we find

And since it has the same sign of the initial velocity of the boy, it is still forward.