A flat car of mass `M` with a child of mass `m` is moving with a velocity `v_(1)`. The child jumps in the direction of motion of car with a velocity `u` with respect to the car. Find the final velocities of the child and that of the car after jump.

A flat car of mass m is at rest on a frictionless floor with a child of mass m standing at its edge. If the child jumps off from the car towards right with an initial velocity u , with respect to the car, find the velocity of the car after its jump.

A man of mass m stands on a long flat car of mass M , moving with velocity V.If he now begins to run with velocity u, with respect to the car , in the same direction as V, the the velocity of the car will be

A boy of mass m is riding on a trolley of mass M which is moving on smooth floor at speed v_(0) . He jumps off in the opposite direction of motion of trolley with velocity u relative to the trolley before the jump. Find the velocity of the trolley after jump.

A girl of mass 50 kg stands on a railroad car of mass 75 kg moving with velocity 20 ms^(-1) . Now , the girl begins to run with a velocity of 10ms^(-1) with respect to the car in the same direction , as that of the car. The velocity of the car at this instant will be

A boy of mass 40 kg stands on a rail road car of mass 60 kg , moving with velocity 10 m//s . Now , the boy begins to run with velocity 5 m//s , with respect to the car , in the same direction , the velocity of the car will be

A car is moving with velocity vec v_(c) towards north and a train is moving towards east with velocity vec v_(t) . Find the direction of relative velocity of car with respect to train.

A motorcylcle is moving with a velocity 80km/hr ahead of a car moving with a velocity of 65 km/hr in the same direction. What is the relative velocity of the motorcyle with respect ot the car:-

A car is going east wards with a velocity of 8m/s. To the passengers in the car, a train appears to be moving north wards with a velocity of 15 m/s. What is the actual velocity of the train:

A child with mass m is standing at the edge of a merry go round having moment of inertia I , radius R and initial angular velocity omega as shown in the figure. The child jumps off the edge of the merry go round with tangential velocity v with respect to the ground. The new angular velocity of the merry go round is