A particle travels in a straight line so that, t seconds after passing through a fixed-point O,

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A particle travels in a straight line so that, t seconds after passing through a fixed-point O, its speed, v ms-1, is given by v = 2 cos(t/2) – 1.

a. Find the value of t when the particle first comes to instantaneous rest at the point P.

b. Find the total distance travelled from t = 0 to t = 2π.

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