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

##### 1 Answer

Mar 3, 2018

#### Explanation:

The object is performing 2 dimensional motion. Its position vector can be resolved into the following:

where

Now, the velocity is the first derivative of its position with respect to time. Therefore,

plugging in