# Problem: A particle starts from the origin with velocity 5i ^ m/s at t 5 0 and moves in the xy plane with a varying acceleration given by a S 5 16!t j^2 where a S is in meters per second squared and t is in seconds. (a) Determine the velocity of the particle as a function of time. (b) Determine the position of the particle as a function of time.

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A particle starts from the origin with velocity 5i ^ m/s at t 5 0 and moves in the xy plane with a varying acceleration given by a S 5 16!t j^2 where a S is in meters per second squared and t is in seconds. (a) Determine the velocity of the particle as a function of time. (b) Determine the position of the particle as a function of time.

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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.