Derive the expression for trajectory of a particle projected horizontally with velocity u from height H.

The trajectory of a projectile fired horizontally with velocity u is a parabola given by

Derive an expression for time period of a particle performing S.H.M.

Derive an expression for kinectic energy of a rotating body with uniform angular velocity.

Derive an expression for Kinetic Energy (K) of a rotating body with uniform angular velocity.

A man standing on the roof of a house of height h throws one particle vertically downwards and another particle horizontally with the same velocity u. The ratio of their velocities when they reach the earth's surface will be

Define critical velocity and derive an expression for the same. OR What is critical velocity? Derive an expression for critical velocity of a satellite orbiting at a certain height. Also discuss the formula when satellite is very close to the earth's surface.

Derive an expression for critical velocity of satellite. Calculate the acceleration due to gravity at a height of 300 km from the surface of the earth. M = 6xx10^24kg R = 6400 km.

Derive an expression for apparent frequency when listener approaches a stationary source with velocity v_2 ?

Derive an expression for terminal velocity of solid falling through viscous fluid.

Derive expression for final velocities v_1 and v_2 for an Elastic collsion.