Calculating Distance Between Stop Signs Using Accelerated Motion Formulas

  • Thread starter TonkaQD4
  • Start date
In summary, the car travels at a constant acceleration of 4.20m/s^2 for 7.10 seconds, covering a distance of 211.72m. It then coasts at a constant velocity for 2.10 seconds, covering a distance of 62.622m. Finally, the car decelerates at a rate of 3.10m/s^2 for 9.62 seconds, covering a distance of 29.82m. The total distance between the two stop signs is 304.164m.
  • #1
TonkaQD4
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A car starts from rest at a stop sign. It accelerates at 4.20m/s^2 for 7.10s, coasts for 2.10s, and then slows down at a rate of 3.10m/s^2 for the next stop sign. How far apart are the stop signs?

Please help me start this problem. Not sure where to begin. Thanks
 
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  • #3
1st Interval

Vf= 0 + 4.20m/s^2(7.10s)
= 29.82m/s

29.82m/s x 7.10s
= 211.72m

2nd Interval

29.82m/s x 2.10s
= 62.622m

3rd Interval

Vf = 29.82m/s - 3.10m/s^2(t)
-29.82m/s = -3.10m/s^2(t)

9.62s = t

29.82m/s - 3.10m/s^2(9.62s)
??

Well, do I have the first two intervals correct?

And I am stuck on the third interval... Does it just equal 29.82m, which means the distance between the two stop signs is 211.722+62.622+29.82= 304.164m

Any help would be greatly appreciated.
 
  • #4
interval 1 is not right...

Remember this is accelerated motion... d = vt doesn't work here unless by v you mean "average velocity"...

what displacement formulas do you have for accelerated motion...

try to apply one here...
 

What is the definition of distance between stop signs?

The distance between stop signs is the length of road between two consecutive stop signs. It is typically measured in feet or meters.

Why is it important to have a specific distance between stop signs?

The distance between stop signs is important for safe and efficient traffic flow. It allows drivers enough time and space to come to a complete stop at each sign without causing congestion or accidents.

What factors determine the distance between stop signs?

The distance between stop signs is determined by several factors including the speed limit of the road, the volume of traffic, the type of road (e.g. residential or highway), and any potential hazards or intersections that may require additional stop signs.

How is the distance between stop signs calculated?

The distance between stop signs is typically calculated by traffic engineers using formulas and guidelines set by transportation agencies. These calculations take into account the various factors mentioned above to determine the appropriate distance for safe and efficient traffic flow.

What happens if the distance between stop signs is too short or too long?

If the distance between stop signs is too short, it can cause frequent stops and starts, leading to congestion and frustration for drivers. If it is too long, it can increase the risk of accidents as drivers may be traveling at higher speeds and have less time to come to a complete stop. Therefore, it is important for the distance between stop signs to be carefully planned and maintained.

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