# What is the instantaneous velocity of an object moving in accordance to # f(t)= (2sin(2t+pi),tcos2t) # at # t=pi/3 #?

##### 1 Answer

Mar 7, 2018

#### Explanation:

We have the path of an object as a function of time given by

This is the parametric form of the Cartesian equation with

We want to find the instantaneous velocity of the object at

The way to find the first derivative of

We now plug in