The acceleration of a particle is defined by the equation a, Mechanical Engineering

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The acceleration of a particle is defined by the equation a

The acceleration of a particle is defined by the equation a = -k*sqrt(v), where k is a constant. When t=0, the initial position is xo=0 and the initial velocity is vo=81ft/s. Knowing that v =36ft/s when x=18ft, determine the velocity of the particle when x = 20ft, and the time required for the particle to come to rest.

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