# What is the instantaneous velocity of an object with position at time t equal to # f(t)= (te^(t^3-t),t^2e^t) # at # t=1 #?

##### 1 Answer

Feb 11, 2018

Instantaneous velocity of the object is

#### Explanation:

When position of an object at a time is given by

This means while

where

and its absolute value is

Hence the velocity is given by

and velocity at

=

=

and its absolute value