# What is the instantaneous velocity of an object moving in accordance to # f(t)= (sin(2t-pi/2),t) # at # t=(5pi)/4 #?

##### 1 Answer

Jun 14, 2016

speed =magnitude of velocity=

#### Explanation:

The instantaneous velocity of the object under question is

now,

Now

Altogether,

Recall that velocity, being a vector, we have to express this in magnitude (speed) & direction.

Clearly, speed =