The minimum velocity to throw an object vertically upwards to a definite height is called the projection velocity”.
Suppose, if an object having mass (m) is projected with v velocity to a height (h) from the Earth’s surface, when the body is thrown upwards then the body’s kinetic energy is changed into its gravitational potential energy. Hence, from the law of conservation of energy :
Total energy of the body at the surface of the Earth (S) = Total energy of body at point P at height h
This is the formula for the projection velocity of a body going to a height h from the surface of the Earth.
The maximum height (h) gained by the object from equation (1) is;
