7 A particle moves in a straight line and it passes through a fixed point O. Its velocity, v m s', t seconds after passing through O, is given by v=²+ kt + 8, where k is a constant. The acceleration of the particle after 4 seconds is 2 m s and the particle is instantaneously at rest at points P and Q. O Applying Analysing (a) Find the value of k. (b) Find (i) the times when the particle is at point P and point Q, (ii) the distance between points P and Q. ...... .

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