Q.The position of particle in a specific rectilinear motion is given by

x(t)=v’/beta(1-e^-beta*t)

where beta and v’ are constants.

Determine the dimensions of v’*beta.

While solving it , How to know x(t) gives some distance or v’ is speed.Is there a way to deduce equations and get their meaning,i.e.physical quantity.

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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