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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