Stopping distance/time and constant deceleration

In summary, the conversation discusses a scenario where a car is driving at a speed of 18 m/s and is 130 m away from an intersection when the traffic light turns red. The question asks for the acceleration needed to bring the car to rest at the intersection and the total time it takes to stop. After considering the initial velocity, distance, and final velocity, the calculations result in an acceleration of -36 m/s/s and a total time of 5.5 seconds.
  • #1
gbedenba
23
0

Homework Statement


You are driving to the grocery store at 18 m/s. You are 130 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.50 s and that your car brakes with constant acceleration. What acceleration (magnitude) will bring you to rest right at the intersection? How long (total) does it take you to stop?



Homework Equations





The Attempt at a Solution

I got how far from intersection til brakes are applied... = 119.775 m
 
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  • #2


How did you get the answer? Show your calculations.
 
  • #3


vi=18 m/s t = 0.5 secs a= 9.8 m/s/s

0= 18 + a(.5)

= 10.225

130-10.225= 119.775m
 
  • #4


0.5 s is the reaction time, not the total time.
During that time car moves 18*0.5 = 9 m. Then the brakes are applied.
Now the initial velocity is 18 m/s, distance is (130 - 9)m and final velocity is zero. Find acceleration and then time.
 
  • #5


I am having a hard time finding acceleration and time...and this is due in ten mins...I keep getting -36m/s/s for acceleration...
 
  • #6


Show your calculations. We have no idea how you are getting your answers if you don't show your work!
 

1. What is stopping distance?

Stopping distance is the total distance a vehicle travels from the moment the brakes are applied until it comes to a complete stop. It includes both the distance traveled during the driver's reaction time and the distance traveled while the vehicle is decelerating.

2. How is stopping distance calculated?

Stopping distance is calculated by multiplying the vehicle's initial speed by the sum of the reaction time and the deceleration time. This formula can be represented as: Stopping Distance = Initial Speed x (Reaction Time + Deceleration Time).

3. What factors affect stopping distance?

Stopping distance is affected by several factors, including the speed of the vehicle, the condition of the vehicle's brakes and tires, the condition of the road surface, and the driver's reaction time. Other factors, such as weather conditions and the weight of the vehicle, can also affect stopping distance.

4. How does constant deceleration affect stopping distance?

Constant deceleration refers to the rate at which a vehicle slows down while braking. The higher the deceleration rate, the shorter the stopping distance will be. This is because the vehicle is slowing down more quickly, reducing the time and distance needed to come to a complete stop.

5. Can stopping distance be increased or decreased?

Yes, stopping distance can be increased or decreased depending on various factors. For example, increasing the speed of the vehicle will increase the stopping distance, while improving the condition of the vehicle's brakes and tires can decrease stopping distance. Additionally, practicing safe driving habits, such as maintaining a safe following distance and being aware of road conditions, can help decrease stopping distance.

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