Question

A particle is at rest and at x=0 and y=0 at time = 0. The particle then moves in the x-y plane with an acceleration in m/s^2 of a = 5t^2 i + 5t j , where t is in seconds. Determine the magnitude of the particle's position vector in m at instant the x-component of the velocity vector vx = 8 m/s.

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