<image>When a driver is operating a vehicle and encounters an emergency, there is a period of time known as the reaction time before the driver presses the brake pedal. Following that, the vehicle will continue to travel a certain distance. The distance the vehicle travels from the moment the driver spots the emergency to the moment the vehicle completely stops is called the "braking distance" (as shown in the figure).

It is known that the braking distance \( s \) (in meters) has the following relationship with the vehicle speed \( v \) (in meters per second):
\[ s = tv + kv^2 \]
where \( t \) is the driver's reaction time (in seconds) and \( k \) is the braking coefficient. 

To study the change in braking distance for drivers who have consumed alcohol, an organization conducted a "drunk driving" test with a specific car model. It is known that the braking coefficient \( k \) for this model is 0.08, and the reaction time \( t \) for a volunteer driver is 0.7 seconds when not under the influence of alcohol.

(1) What is the braking distance of this car if the volunteer has not consumed alcohol and the vehicle speed is 11 m/s? (Round your answer to the nearest 0.1 meters)

(2) After consuming a bottle of beer and waiting for half an hour, the volunteer drives at a speed of 17 m/s, with a measured braking distance of 46 meters. Assuming the volunteer was initially driving at a speed of 11 m/s, by how much would the braking distance increase compared to when the driver had not consumed alcohol? (Round your answer to the nearest 0.1 meters)

(3) If you are driving this model of car at a speed ranging from 11 m/s to 17 m/s and maintain a following distance of 40 meters to 50 meters from the vehicle ahead, what is the maximum reaction time allowed to prevent a rear-end collision if the vehicle ahead suddenly stops? (Round your answer to the nearest 0.01 seconds)
