Suppose a constant force 
which performs for a time t on a object of mass m, thus, changing its velocity from 
to 
. Because the force is constant, the object will travel with travel with constant acceleration where
Hence, 
Or 
The product of constant force and the time t for which it performs is known the impulse of the force and this is same to the change in linear momentum which it provides.
Impulse 
Instantaneous Impulse: There are many occasions when a force behaves for such a short time that the effect is instantaneous. In such part, although the value of the force and the time for which it performs may each be unknown but the value of their product (i.e., impulse) can be known by measuring the starting and final momentum. Thus, we can write
Regarding the impulse it is important to noticed that impulse applied to an object in a given time interval can also be determined from the area under force-time (F - t) graph in the same time interval.
Impulse momentum relation: The modification in momentum of a particle during a time interval same the impulse of the net force that performs on the particle during that interval.
(impulse - momentum relation)
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