Question

Change of momentum is p1-p2.

So, what is rate of change of momentum? What is it's formula?

What effect will reduction of time to half have on rate of change of momentum?

Answer 1

The rate of change in momentum is the change in momentum per unit time.
If the change in momentum in time Δt is p₁ - p₂, then the rate of change of momentum is given as:
$rateofchangeofmomentum=\frac{∆p}{∆t}=\frac{p_1-p_2}{∆t}=\frac{m(v_1-v_2)}{∆t}=m\frac{∆v}{∆t}=ma=F$
In this way rate of change in momentum is related to force.
From the formula if Δt is reduced to half then the rate of change of momentum becomes double.