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 Edison 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 0 s. At what time should the Edison start so that both cars are at the same point 5 s after the race starts? Express your answer to the nearest tenth of a second.