# What is the instantaneous velocity of an object moving in accordance to # f(t)= (sin^2t,t-cos3t) # at # t=pi/4 #?

##### 1 Answer

Jun 7, 2016

#### Explanation:

If you have the law of motion, the instant velocity is given by its derivative.

You derive a vectorial function by deriving every output; so

and those derivatives are easily computed:

Now you only need to evaluate