# What is the instantaneous velocity of an object moving in accordance to # f(t)= (sin(2t-pi/2),cost/t ) # at # t=(3pi)/8 #?

##### 1 Answer

#### Explanation:

We're asked to find the instantaneous velocity of an object, given its position equation.

In component equations, the position is

The velocity can be found by *differentiating* the position equations:

To find the velocity components at

The term "

The *magnitude* of the instantaneous velocity is thus

And the *direction* is

with respect to the positive