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.
