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The coordinates of an object moving in the XY plane vary with time according to the equations  x...

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Physics

The coordinates of an object moving in the XY planevary with time according to theequations  x = −7.43 sinωt and y = 4.00 − 7.43cos ωt,

where ω is a constant, x and y are inmeters, and t is in seconds.

(a) Determine the components of the velocity of the object att = 0. (Use the following as necessary: ω.)

(b)  Determine the components of the acceleration ofthe object at t = 0. (Use the following as necessary:ω.)

(c) Write expressions for the position vector, the velocityvector, and the acceleration vector of the object at any timet > 0. (Use the following as necessary: omega for ω andt.)

(d) Describe the path of the object in an XY plot.

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