# Problem: The coordinates of an object moving in the xy plane vary with time according to the equations x 5 25.00 sin vt and y 5 4.00 2 5.00 cos vt where v 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 5 0. (b) Determine the components of acceleration of the object at t 5 0. (c) Write expressions for the position vector the velocity vector and the acceleration vector of the object at any time t . 0. (d) Describe the path of the object in an xy plot.

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###### Problem Details

The coordinates of an object moving in the xy plane vary with time according to the equations x 5 25.00 sin vt and y 5 4.00 2 5.00 cos vt where v 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 5 0. (b) Determine the components of acceleration of the object at t 5 0. (c) Write expressions for the position vector the velocity vector and the acceleration vector of the object at any time t . 0. (d) Describe the path of the object in an xy plot.

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Our tutors have indicated that to solve this problem you will need to apply the Instantaneous Acceleration in 2D concept. You can view video lessons to learn Instantaneous Acceleration in 2D. Or if you need more Instantaneous Acceleration in 2D practice, you can also practice Instantaneous Acceleration in 2D practice problems.