Instantaneous Acceleration in 2D Video Lessons

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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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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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