Impulse, commonly, is defined when a high amount of force acts for a short interval of time, e.g. a cricket bat hitting a ball or two cars hitting each other
From the Newton's second law, the force
Let us integrate both sides from an initial time ti to the final time tf. We obtain
The right hand side is the change in the momentum. The left hand side defined as impulse,
The impulse is equal to the change in the momentum.
The impulse is also the area under the force – time graph shown as the shaded area for one dimensional force.
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