An entrant enters a model car into a race. The car accelerates from rest at a constant rate of 2m/s^2 down a slope. When it crosses the finishing line a firework is set off at the end of the course. The sound travels at 340m/s. The time between the entrant starting and the firework being heard at the start of the course is 12s. a) Find the length of the course. b) find the actual time it took for the model car to complete the course.