Question

A ball is projected from the earth surface rate of change of momentum of particle does not depend upon

Answer 1

According to Newton's Second Law of Motion, Force is the Rate of change of Momentum of a body with respect to time.



That is, in Mathematical Form:


$\displaystyle \boxed{\vec{F} = \frac{d\vec{p}}{dt}}$


Thus, when we are talking about Rate of Change of Momentum of a body, we are actually talking about the Forces acting on it.


Now, in the given question, a ball is projected from Earth's Surface. 

The only Forces acting on the ball are:

1) Gravitational Force of the Earth
2) Air Resistance



If Air Resistance is neglected (which we often do), the only force acting on the ball is the gravitational force, which is just its weight.

This force is:

F = mg


Where m is the mass of the ball, and g is the gravitational acceleration.


So, Rate of Change of Momentum of the ball depends only on its mass and the gravitational acceleration of the earth.



And, for your answer, Rate of Change of Momentum does not depend on anything except m and g.