Question: Question) A particle is initially located at (0, 4), and moves at a constant speed along a full circular path centered at (0, 0) clockwise

Question) A particle is initially located at (0, 4), and moves at a constant speed along a full circular path centered at (0, 0) clockwise. Suppose that it takes 8 seconds for the particle to finish the entire path.

1) Sketch the path.

2) Find a parametric equation for the particle's position at any time .

3) Find the particle's velocity at .

4) Find the particle's speed.

5) On your sketch in (A) above, sketch (2) and (2).

Thank you so much!

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