A particle starting from rest at x = 1 ft is accelerated so that its velocity doubles in…

A particle starting from rest at x = 1 ft is accelerated so that its velocity doubles in magnitude between x = 2 ft and x=5 8 ft. Knowing that the acceleration of the particle is defined by the relation a = k[x 2 (A/x)], determine the values of the constants A and k if the particle has a velocity of 29 ft/s when x = 16 ft.

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