An object is projected vertically upwards. It explodes at the topmost point of its trajectory into three identiccal fragments. One of the fragments comes straight down in time t1 while the other two lands at a time t2 after explosion. Height at which the explosion is occured is equal to

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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