Two particles A and B are located in xy plane with their coordination (0, 0) and (d,0) respectively. At time t=0 the particle A starts moving towards B with velocity V (a) =k (x+d)^1/2 m/s, whereas the particle B starts moving towards A with velocity V (b) =k (x)^1/2 if they meet each other after sometime , then find their positions from origin.

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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