An elevator is going up with an upward acceleration of 1m/s^2. At the instant when its velocity is 2m/s, a stone is projected upward from its floor with aspeed of 2m/s relative to the elevator, at an elevation of 30 degree.

(1) Calculate the time taken by the stone to return to the floor.

(2) If the elevator was moving with a downward acceleration= g, how would the motion be altered?

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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