# What is the instantaneous velocity of an object moving in accordance to # f(t)= (e^(t-t^2),2t-te^t) # at # t=-1 #?

##### 1 Answer

and it's direction

#### Explanation:

**negative** as the **time** can't be negative but the following answer **demonstrates the way to solve this kind of equations** for

This function is a displacement function for a particle moving in the Cartesian plane:

The function is divided into two parts

so You can differentiate each part alone to get the **velocity-time** function

and by substituting with the value

and by simplification You get:

so the magnitude of the velocity of the particle at that moment will be:

and it's direction will be

And by the substituting, You get

and

I hope this was helpful.