Question

The position of an object in circular motion is modeled by the given parametric equations. Describe the path of the object by stating the radius of the circle, the position at time t = 0, the orientation of the motion (clockwise or counterclockwise), and the time t that it takes to complete one revolution around the circle.

Answer 1

`x-xo=({-1})^(n) R cos [2\pi  (t-to)/T]\\y- yo=R sin[2\pi  (t-to)/T]`

Parameters:

xo,yo= initial position of x and y at t=to (to can be 0)

R= radius of the circle

n= orientation parameter. if n is even it runs clockwise and if n is odd it runs counterclockwise

Explanation:

The explanation can be found in the attached picture