Question

A car is travelling at \(\quantity{30}{mph}\) when the driver needs to make an emergency stop. It takes him \(\quantity{0.7}{seconds}\) to apply the brake and the car comes to rest with uniform retardation in a further \(\quantity{2}{seconds}\). How far has the car travelled since the emergency arose?

With the same time taken to apply the brake and the same retardation, what would have been the stopping distance if the car had originally been travelling at \(\quantity{40}{mph}\)?

[Give your answer in yards, where \(\quantity{1}{mile}=\quantity{1760}{yards}\)]