Question

The driver of a car travelling at a constant speed of 72 kmph, seeing a procession ahead of him moving in the same direction, decelerates at a constant rate of 1m/s^2 until his speed is reduced to 3 kmph. He moves at this speed for 2 minutes until the procession takes a left turn. He then accelerates at a constant rate of 0.5 m/s^2 to his normal speed. Determine the total distance travelled during this time and the time lost.