Impulse is the change in momentum of an object: j = Δp
Momentum is the product of the mass and the velocity of an object, and is a vector quantity:
p = mv
Since in daily life we do not notice an object's mass change just because its velocity changes, change in momentum is given by:
Δp = mΔv
Impulse occurs as force is applied to an object over a period of time: j = FΔt
Therefore, since j = Δp
FΔt = mΔv
F = mΔv/Δt
Newton's Second Law of Motion is force is the rate of change of momentum:
F = Δp/t
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