The velocity of an object with a mass of #6 kg# is given by #v(t)= sin 2 t + cos 4 t #. What is the impulse applied to the object at #t= (5pi)/12 #?
No answer to this
So we need a time period for there to be an impulse within the definition provided, and the Impulse is the change of momentum over that time period.
We can calculate the momentum of the particle at
But that is the instantaneous momentum.
We can try
No luck :-(
The next port of call might be the Dirac delta function but I'm not sure where that might lead as it's been a while.