please tell me the steps involved to solve it Father and Child A 40 kg child and

Question

please tell me the steps involved to solve it

Father and Child A 40 kg child and her 75 kg father simultaneously dive from a 100 kg boat that is initially motionless. The child dives horizontally toward the cast with a speed of 2.0 m/s, and the father dives toward the south with a speed of 1.5 m/s at an angle of 37 degree above the horizontal. Assume the boat's vertical motion due to the father's dive does not alter its horizontal motion.) Determine the magnitude and direction of the velocity of the boat along the water's surface immediately after their dives.

Explanation / Answer

Each person gives momentum to the boat equal and opposite to their momentum, so add together the components of each's momentum (mass times velocity).
The child pushes the boat west with 80 kgm/s, and the father pushes the boat North with 112.5cos37° kgm/s (ignore the vertical component). The boat's velocity is(112.5cos37°2 + 802)/100 kg = 1.20 m/s, in the direction tan-1(80/112.5cos37°)= 41.68° west of north.

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