What is the instantaneous velocity of an object moving in accordance to # f(t)= (e^(t-t^2),2t-te^t) # at # t=-1 #?
and it's direction
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
I hope this was helpful.