Emergency Braking: Stopping Distance of 48m

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In summary, the problem involves an automobile traveling at 16 m/s and needing to stop with a negative acceleration of 4.0 m/s^2. The reaction time of the driver is 1.0 seconds. Using the equation V^2=V0^2+2ax, the distance travelled during the reaction time is 16 meters. The total distance traveled for braking is 32 meters. Therefore, the total distance for the car to stop is 48 meters.
  • #1
chawki
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Homework Statement


An automobile is traveling at 16 m/s. The driver perceives a need to stop and applies the
brakes producing a (negative) acceleration of 4.0 m/S2. Take the reaction time of the
driver, the time to move from the go pedal to the stop pedal, as 1,0 s.

Homework Equations


How far does it take for the car to stop?

The Attempt at a Solution


during his reaction time, he traveled d=16*1=16m.
we calculate the distance of braking:
V2-V02=2*a*x
x= 32m.
the whole distance is 16+32=48m and that's what we have been asked to find.
 
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  • #2
same kind of question. and you have answered it yourself.
 

1. How is the stopping distance of 48m calculated?

The stopping distance of 48m is calculated by considering the initial speed of the vehicle, the braking force applied, and the reaction time of the driver. It is a combination of both the thinking distance (the distance traveled while the driver reacts to a situation) and the braking distance (the distance traveled while the vehicle comes to a complete stop).

2. What factors affect the stopping distance of a vehicle?

Several factors can affect the stopping distance of a vehicle, including the speed of the vehicle, the condition of the brakes and tires, the weight and size of the vehicle, and the road conditions (such as wet or icy surfaces). The driver's reaction time and the efficiency of the braking system also play a significant role.

3. Why is it important to know the stopping distance of a vehicle?

Knowing the stopping distance of a vehicle is crucial for ensuring safe driving and avoiding accidents. It allows drivers to maintain a safe following distance and adjust their speed accordingly. It also helps in selecting the appropriate braking force and reacting quickly to unexpected situations on the road.

4. Can the stopping distance of a vehicle be reduced?

Yes, the stopping distance of a vehicle can be reduced by several measures. This includes maintaining a safe speed, regularly checking and maintaining the brakes and tires, and avoiding distractions while driving. Advanced braking systems such as anti-lock brakes (ABS) can also help reduce the stopping distance by preventing the wheels from locking up during emergency braking.

5. How does emergency braking affect the overall performance of a vehicle?

Emergency braking can significantly impact the overall performance of a vehicle, as it puts a lot of strain on the braking system and tires. Repeated and sudden emergency braking can lead to brake and tire wear, which can affect the handling and control of the vehicle. It is essential to use emergency braking only when necessary and to maintain the vehicle's braking system regularly to ensure optimal performance.

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