# IM3.1.2 Quadratic inverses part 1

## 1

Imagine your dream car. Maybe it is a Ferrari 550 Maranello, a super-fast Italian car. Experiments have shown that on smooth, dry roads, the relationship between the braking distance (d) and speed (s) is given by . Speed is given in miles/hour and the distance is in feet. a. How many feet should you leave between you and the car in front of you if you are driving the Ferrari at 55 mi/hr? b. What distance should you keep between you and the car in front of you if you are driving at 100 mi/hr? c. If an average car is about 16 feet long, about how many car lengths should you have between you and that car in front of you if you are driving 100 mi/hr? d) It makes sense to a lot of people that if the car is moving at some speed and then goes twice as fast, the braking distance will be twice as far. Is that true? Explain why or why not.