Question

Two new hybrid vehicles accelerate at different rates. The Ultra Range's acceleration can be modeled by the function d(t) = 1.5t^2, while the Edisons can be modeled by the function d(t) = 5.4t^2, where d is the distance, in meters, and t is the time in seconds. The ultra Range starts the race at 0s. At what time should the Edison start so that both cars are at the same point 5s after the race starts? Express your answers to the nearest tenth of a second.