25 A particle P is moving along a straight line. At time / seconds. > 0, the displacement, x metres, of P from a fixed point O on the line is given by x = k + 61 - 2kr² where k is a constant. When / = 0, P is at the point A on the line. When P is at the point B on the line, P is instantaneously at rest. Given that AB= 0.9m, calculate the value of k. Show your working clearly.

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