A car manufacturer does performance tests on its cars. During one test, a car starts from rest, and accelerates at a constant rate for 20 seconds. Another car starts from rest three seconds later, and accelerates at a faster constant rate. The equation that models the distance (d) in metres the first car travel travels is: d= 1.16t^2, where t is time, in seconds, after the car starts. The equation for the second car is: d= 1.74(t - 3)^2 a. In the context, what is a suitable domain for the graph of this system?
b. At what time will both cars have driven the same distance?
c. How far will they have driven at this time?