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A particle oscillates between the points x=40mm and x=160mm with an acceleration a =k(100-x),where k is a constant.The velocity of the particle is 8 m m/s when =100 m and is zero at both x=40 mm and x=160mm.Determine (a)the value of k (b) the velocity when x=120 mm.

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0.09`S^(-2)` (b)`pm`16.97 mm/s
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