I've been doing problems based on a particle traveling around in the unit circle. Say we have a particle traveling in the unit circle, starting at (1,0) at time t = 0 and with a speed of t and time t. The particle is traveling in the direction of increasing . The question asks to find the velocity and acceleration vector at the point (0,1). I can do this.
I was wondering, what would happen if we had all of the same information as above, except that the particle was traveling on an ellipse given by, say, . How would you find the velocity or acceleration vectors? Is it the same method as finding those vectors in the unit circle?
Thank you for your time.