A cyclist is travelling along a straight road. The distance in metres of the cyclist from a

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A cyclist is travelling along a straight road. The distance in metres of the cyclist from a fixed point after t seconds is modelled by the function f(t), where f′(t) = 5 + 2t and f(0) = 0.

a. Find an expression for f(t).

b. Calculate the time taken for the cyclist to travel 100 m.

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