a particle moving with a initial velocity u and passes succesfully over 2 halves of a given distance with acceleraton f and f1 respectively.Prove that the final velocity is equal to the initial velocity if the entire distance was traversed with a uniform accleration of (f+f1)/2

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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