Purple car Racing acceleration +18.5 m/s^2 , Braking acceleration-14.2m/s^2 what is the reaction time? The total time for the purple car into motion, and the time taken for the car to move the 402 m to the finish line while the car accelerates from rest to the maximum speed as it crosses the finish line. So the total time for each driver's race is given by:t tot =tr+t The dist (X-X0) is 402.0 meters