Linear Impulse and Momentum of a Particle

Netwon's second law says that

where .

When the forces are constants or functions of time only, we can separate variables and integrate with mass constant to get,

Rearranging,

where

	Initial linear momentum of the particle
	Linear impulse due to the forces acting on the particle during the time interval
	Final linear momentum of the particle

Note that this is a vector equation, so we can also write it in component form.

Also, it is sometimes useful to express the average impulse force as