# Thread: Particle travelling in a circle.

1. ## Particle travelling in a circle.

Hello,
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 $\theta$. 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, $x^2 + 2y^2 = 1$. How would you find the velocity or acceleration vectors? Is it the same method as finding those vectors in the unit circle?

2. Originally Posted by Silverflow
Hello,
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 $\theta$. 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, $x^2 + 2y^2 = 1$. How would you find the velocity or acceleration vectors? Is it the same method as finding those vectors in the unit circle?