The position of a particle is given by the vector r = 10 m cos t

Question:

The position of a particle is given by the vector r = –10 m cos ωt i + 10m sin ωt j, where ω = 2 s-1.

(a) Show that the path of the particle is a circle. 

(b) What is the radius of the circle? 

(c) Does the particle move clockwise or counterclockwise around the circle? 

(d) What is the speed of the particle? 

(e) What is the time for one complete revolution?

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