a. (i) A bus passes a point O with velocity 10m s−1 and uniform acceleration 1m s−2. Two seconds later, a car passes the same point O in the same direction with velocity 20m s−1 and uniform acceleration 0.5m s−2. Find the time, measured from the instant the car passes O, after which the car overtakes the bus.
b. (ii) How far from point O does the overtaking occur?