# What is the instantaneous velocity of an object with position at time t equal to # f(t)= (te^(-3t),t^2-te^t) # at # t=2 #?

##### 1 Answer

Dec 16, 2015

#### Explanation:

By definition, velocity is the rate of change in position and may hence be found by differentiating the position function with respect to time. This will require application of the product rule and the result is

So if this is a normal 2 dimensional vector space with standard notations and units, then the instantaneous velocity at