Drag racing combines the reflexes of the driver with a powerful engine to propel a specially designed car across a quarter mile as quickly as possible. After a series of lights to prepare the driver, a green light signals the drivers to go. The car accelerates uniformly at 19 m/s2 for the first 4.5 seconds, at which point the driver injects nitrous oxide into the engine to boost the acceleration of the car to 27 m/s2.
What is the time for the car to go the quarter-mile?