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Q3. Two cars move from the same stationary point, the first car moves in a straight line with an acceleration of 0.45 m/s². The second car then follows the same path with an acceleration of 0.75 m/s², starting four seconds after the first car began moving.

(a) Sketch a graph of speed against time to show the motion of each car up to the point overtaking occurs and state what is common to both graphs at the point of overtaking. (3)

(b) Calculate EACH of the following:

(i) the distance the cars will have travelled when the second car overtakes the first. (10)

(ii) the speed, in km/h of EACH car when the overtaking occurs. (3)