Question

Difficulty: Very hardStopping Distance Components

A fleet safety manager is evaluating the stopping capabilities of two fully loaded commercial vehicles traveling at exactly 60 feet per second60\text{ feet per second} (approximately 41 mph41\text{ mph}) on a level highway. Vehicle X is a heavy straight truck equipped with hydraulic brakes, while Vehicle Y is a heavy-duty tractor-trailer equipped with air brakes. Both drivers exhibit the standard average perception time of 1.75 seconds1.75\text{ seconds} and the standard average reaction time of 0.75 seconds0.75\text{ seconds}. Due to their heavy loads, the mechanical braking distance for both vehicles is exactly 140 feet140\text{ feet}. Based on standard commercial driving calculations, which of the following correctly identifies Vehicle Y's perception distance, its total stopping distance, and why its total stopping distance differs from Vehicle X?

  1. Vehicle Y has a perception distance of 105 feet105\text{ feet} and a total stopping distance of 320 feet320\text{ feet}; it requires 30 feet30\text{ feet} more to stop than Vehicle X due to air brake lag distance.Answer
  2. B
    Vehicle Y has a perception distance of 45 feet45\text{ feet} and a total stopping distance of 320 feet320\text{ feet}; it requires 30 feet30\text{ feet} more to stop than Vehicle X due to air brake lag distance.
  3. C
    Vehicle Y has a perception distance of 105 feet105\text{ feet} and a total stopping distance of 290 feet290\text{ feet}; its total stopping distance is identical to Vehicle X because both have the same mechanical braking distance.
  4. D
    Vehicle Y has a perception distance of 105 feet105\text{ feet} and a total stopping distance of 215 feet215\text{ feet}; it requires 30 feet30\text{ feet} more to stop than Vehicle X due to air brake lag distance.

Answer

Vehicle Y has a perception distance of 105 feet105\text{ feet} and a total stopping distance of 320 feet320\text{ feet}; it requires 30 feet30\text{ feet} more to stop than Vehicle X due to air brake lag distance.
The correct answer accurately calculates perception distance using the standard 1.75-second1.75\text{-second} time (60×1.75=105 feet60 \times 1.75 = 105\text{ feet}). It then correctly sums all four components for the air-braked Vehicle Y: perception (105 ft105\text{ ft}), reaction (45 ft45\text{ ft}), brake lag (30 ft30\text{ ft}), and braking (140 ft140\text{ ft}) for a total of 320 feet320\text{ feet}. Finally, it correctly identifies that Vehicle Y takes 30 feet30\text{ feet} longer to stop than the hydraulically-braked Vehicle X exclusively because hydraulic systems lack the air brake lag component.

Step-by-Step Solution

1
Calculate the perception distance for Vehicle Y.
60 ft/s×1.75 s=105 feet60\text{ ft/s} \times 1.75\text{ s} = 105\text{ feet}.
Perception distance is the distance traveled during the 1.75-second1.75\text{-second} average time it takes for the brain to recognize a hazard.
2
Calculate the reaction distance for Vehicle Y.
60 ft/s×0.75 s=45 feet60\text{ ft/s} \times 0.75\text{ s} = 45\text{ feet}.
Reaction distance is the distance traveled during the 0.75-second0.75\text{-second} average time it takes to physically move the foot to the brake pedal.
3
Calculate the air brake lag distance for Vehicle Y.
60 ft/s×0.50 s=30 feet60\text{ ft/s} \times 0.50\text{ s} = 30\text{ feet}.
Air brakes have an inherent mechanical lag of approximately 0.50 seconds0.50\text{ seconds} before the air flows and the brake shoes apply pressure.
4
Calculate the total stopping distance for Vehicle Y (air brakes).
105 ft+45 ft+30 ft+140 ft=320 feet105\text{ ft} + 45\text{ ft} + 30\text{ ft} + 140\text{ ft} = 320\text{ feet}.
The total stopping distance for an air-braked vehicle consists of perception, reaction, brake lag, and mechanical braking distances.
5
Calculate the total stopping distance for Vehicle X (hydraulic brakes) and determine the difference.
Vehicle X stopping distance = 105 ft+45 ft+140 ft=290 feet105\text{ ft} + 45\text{ ft} + 140\text{ ft} = 290\text{ feet}. The difference is exactly the 30-foot30\text{-foot} brake lag.
Hydraulic braking systems engage almost instantaneously and do not have the brake lag component found in air brake systems.

Key Concept

Air Brake vs. Hydraulic Brake Stopping Distance Components
Rate this question