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The coordinates of an object moving in the xy plane vary with time according to the equations
x = −6.85 sin ùt and y = 4.00 − 6.85 cos ùt,
where ù is a constant, x and y are in meters, and t is in seconds.
(a) Determine the components of velocity of the object at t = 0. (Use the following as necessary: ù.)
(b) Determine the components of the acceleration of the object at t = 0. (Use the following as necessary: ù.)
(c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (Use the following as necessary: omega for ù and t.)
(d) Describe the path of the object in an xy plot.

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