# The velocity of an object with a mass of #8 kg# is given by #v(t)= sin 4 t+ cos 13 t #. What is the impulse applied to the object at #t= ( 3 pi)/ 4 #?

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To find the impulse applied to the object at ( t = \frac{3\pi}{4} ), you first need to find the velocity at that time, and then calculate the change in momentum, which is the impulse. Given the velocity function ( v(t) = \sin(4t) + \cos(13t) ), plug in ( t = \frac{3\pi}{4} ) to find the velocity at that time. Then, multiply the velocity by the mass of the object to get the impulse.

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