What is the instantaneous velocity of an object moving in accordance to # f(t)= (sin2t-cos2t,sin(2t-pi/4)) # at # t=(-pi)/3 #?
And makes an angle with the positive direction of
This function is a Parametric function of motion of a particle
which represents the relation between
By finding the first derivative
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
but it's in the third quadrant since both
I hope this was helpful.