Two cars, an Acura and a Bentley, are initially at rest a distance L from each other. At time t = 0 both cars starts accelerating toward each other with constant acceleration a_{A} and a_{B }respectively.

a) At what time does the crash happen?

b) Find the distance traveled by the Bentley before the two cars crash into each other.

c) What is the relative speed of the Bentley, with respect to the Acura, just before the crash?

Write your results in terms of L, a _{A}, and a_{B}. Remember to check the dimensions/units for each answer.