Derive the expression of centripetal acceleration.

Derive an expression for the centripetal acceleration of a body moving with uniform speed v along a circular path of radius r .

A body is moving in a circular path with centripetal acceleration a . It its speed gets doubled, find the ratio of the centripetal acceleration after and before the speed in changed.

Define acceleration due to gravity. Derive an expression for the acceleration due to' gravity at a place of latitude lambda on the surface of the earth due to its rotation about its axis.

A particle of mass m moves in a circular path of radius r in a horizontal plane with uniform angular velocity vec(omega) about the z- aixs. Write down the position vector of the particle at any instant and hence derive expressions for velocity and acceleration of the particle.

Derive the expression of 4th order central moments in terms of raw moment.

Derive the expression for the potential energy of an electric dipole of dipole moment vec(p) placed in a uniform electric field vec(E ) .

Derive an expression for acceleration due to gravity at a depth d from earth's surface . Is it increases or decreases.