The velocity of an object with a mass of #3 kg# is given by #v(t)= sin 2 t + cos 9 t #. What is the impulse applied to the object at #t= ( 7 pi)/ 12 #?
I would use the definition of impulse but in this case at an instant:
I try to rearrange the above expression as:
Now, to find the acceleration I find the slope of the function describing your velocity and evaluate it at the given instant.
So the impulse: