what is the mathematical form of impulse?
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<math>\vec{J}=\int_{t_1}^{t_2}{\vec{F} \mathrm{d}t},</math>
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In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector quantity. Impulse applied to an object produces an equivalent vector change in its linear momentum, also in the resultant direction.
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