The position of an object in circular motion is modeled by the parametric equations x =8sin(2 t ) y =8cos(2 t ) where t is measured in seconds. (a)
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Question

The position of an object in circular motion is modeled by the parametric equationsx    ytwhere t

 = 8 sin(2t)

 = 8 cos(2)

 is measured in seconds.

(a) Describe the path of the object by stating the radius of the circle, the position at time t = 0,

 the orientation of motion (clockwise or counterclockwise), and the time t it takes to complete one revolution around the circle.

The radius is  , the position at time t = 0 is (xy) =  0,8   , and the motion is  clockwise . 

It takes  ....?.... units of time to complete one revolution.


(b) Suppose the speed of the object is doubled. Find new parametric equations that model the motion of the object.

(x(t), y(t)) = .....?........ 

 

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