# What is the instantaneous velocity of an object moving in accordance to # f(t)= (sin2t-cos2t,sin(2t-pi/4)) # at # t=(-pi)/3 #?

##### 1 Answer

**length unit/unit of time**

And makes an angle with the positive direction of

**degrees**

#### Explanation:

This function is a Parametric function of motion of a particle

which represents the relation between

By finding the first derivative

substitute for

the horizontal component of the velocity of the particle

=

the vertical component of the velocity of particle

=

so the magnitude of the velocity of the particle=

=

and its direction can be given through the relation

**degrees**

but it's in the third quadrant since both **degrees**

I hope this was helpful.