Two bodies of same mass tied with an inelastic string of length `l` lie together. One of them is projected vertically upwards with velocity `sqrt(6gl)`. Find the maximum height up to which the centre of mass system of the two masses rises.

Two particles A and B of equal masses lie close together on a horizontal table and are connected by a light inextensible string of length l . A is projected vertically upwards with a velocity sqrt(10gl) . Find the velocity with which it reaches the table again.

Two particles A and B of equal masses lie close together on a horizontal table and are connected by a light inextensible string of length l . A is projected vertically upwards with a velocity sqrt(10gl) . Find the velocity with which it reaches the table again.

A body of mass m is thrown vertically upward with a velocity v. The height at which the kinetic energy of the body is one third of its initial value is given by

If two particles of masses m_(1) and m_(2) are projected vertically upwards with speed v_(1) and v_(2) , then the acceleration of the centre of mass of the system is

If two particles of masses m_(1) and m_(2) are projected vertically upwards with speed v_(1) and v_(2) , then the acceleration of the centre of mass of the system is

Two particles of same mass are project simultaneously with same speed 20ms^(-1) from the top of a tower of height 30m. One is projected vertically upwards and other projected horizontally.The maximum height attained by centre of mass from the ground will be (g=10ms^(-2))