The coordinates of an object moving in the xy plane vary with time according to x = - (5.00m) sin (wt) and y = (4.00m) - (5.00m) cos (wt), where v is a constant and t is in seconds. (a) Determine the components of velocity and components of acceleration of the object at t=0. (b) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (c) Describe the path of the object in an xy plot.

 4. The coordinates of an object moving in the xy plane vary with time according to x = - (5.00m) sin (wt)  and  y = (4.00m) - (5.00m) cos (wt), where v is a constant and t is in seconds. (a) Determine the components of velocity and components of acceleration of the object at t=0. (b) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (c) Describe the path of the object in an xy plot.