An object's two dimensional velocity is given by #v(t) = ( e^t-2t^2 , t-te^2 )#. What is the object's rate and direction of acceleration at #t=1 #?
We're asked to find the object's acceleration at time
To do this, we need to find the object's acceleration components as a function of
Finding the derivative of velocity component equations, we have
The magnitude (rate) of the acceleration is
The direction of the acceleration is
measured anticlockwise from the positive