A coordinate system is defined by

u=y-x

v=y+x

here x, y are cartesian coordinates.

A partjcle starts from x=3,y=3 with acceleration

a=k(xi+yj) i, j are unit vectors. The vector form of acceleration with u, v as unit vectors is?

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.

11

21

31

41