Answer:
Explanation:
Boy information
Mass = 50kg
Velocity = 5m/s
Trolley information
Mass = 20 kg
Velocity = 1.5 m/s
so using conservation law of momentum
MV + mv = ( M + m ) v'
50*5 + 20*1.5 = ( 50 + 20 ) v'
250 + 30 = 70 v'
280 = 70 v'
so v' = 4m/s which is their common velocity.
Taking the vertical component of the displacement
1.1 - 0.2 = 0.9 mile
The horizontal component of the displacement
-0.3 mile
The magnitude of the displacement is
√[ (0.9)² + (-0.3) ] = 0.95 mile
The direction is
θ = tan-1 (-0.3/0.9)
θ = 161.57 degrees.