# What is the instantaneous velocity of an object with position at time t equal to # f(t)= (1/(t-4),sqrt(5t-3)) # at # t=2 #?

##### 1 Answer

Dec 15, 2015

#### Explanation:

Since velocity is defined as the rate of change in position, we may find the velocity by differentiating the position function with respect to time as follows :

Assuming this is a standard notation 2-dimensional problem, it means that we may then express the instantaneous velocity in terms of standard basis unit vectors and SI units as