Minimum Deceleration for Railroad Crossing Accident Avoidance

In summary: From the given information, we know that the engineer's reaction time is 0.22s and the total distance traveled is 210m. We also know that the initial velocity is 10 m/s and the final velocity is 0 m/s. Using the formula d=V_it + 1/2at^2, we can plug in the values and solve for "a". This gives us a minimum deceleration of -2.31 m/s^2. In summary, the engineer would need to apply a minimum deceleration of 2.31 m/s^2 to avoid an accident.
  • #1
runner1738
71
0
An engineer in a locomotive sees a car stuck on the track at a railroad crossing in front of the train. When the engineer first sees teh car, the locomotive is 210 m from the crossing and its speed is 10 m/s. If the engineer's reaction time is .22 s, what should be the magnitude of the minmum deceleration to avoid an accident? Answer in units of m/s^2
 
Physics news on Phys.org
  • #2
runner1738 said:
An engineer in a locomotive sees a car stuck on the track at a railroad crossing in front of the train. When the engineer first sees teh car, the locomotive is 210 m from the crossing and its speed is 10 m/s. If the engineer's reaction time is .22 s, what should be the magnitude of the minmum deceleration to avoid an accident? Answer in units of m/s^2
First, use the formula d=vt to find the distance he travels before applying the brakes. Subtract that distance from 210 m. Then, use the formula:
[tex]d=V_it + \frac{1}{2}at^2[/tex]
to find the acceleration, which would be a negative number.
 
  • #3
wait but shouldn't i solve for time 210=10(t) then t is 21 then 21-.22=20.78 then 210=10(20.78)+1/2(a)(20.78)^2 so a = .0101897345
 
  • #4
No, since his speed is not 10 m/s throughout. First, find the DISTANCE he travels in 0.22s (d=(10 m/s)(0.22s)).
 
  • #5
210-2.2=d=207.8=10(22)+1/2(a)(22)^2 ? ? or is 21.78 for time?
 
  • #6
runner1738 said:
210-2.2=d=207.8=10(22)+1/2(a)(22)^2 ? ? or is 21.78 for time?
You got the first part (the 207.8m) right. As for the rest, you canot use 22s and the time, since you don't know the time it will take hime to stop. (Sorry, I gave you the wrong formula).
Ok, here's what you know:
initial velocity=10 m/s
final velocity = 0 m/s (since he has to stop)
d = 207.8 m
a=?

Can you find a formula that fits?
 
  • #7
runner1738 said:
210-2.2=d=207.8=10(22)+1/2(a)(22)^2 ? ? or is 21.78 for time?

Where are you getting t=22?

I wouldn't use the above equation.

There's a different distance equation you can use and solve for "a" immediately... hint: it doesn't have a t in it.
 
  • #8
how is time 17.21 seconds i have 207.8=10t-1/2(.2406)t^2
 

What is the magnitude of deceleration?

The magnitude of deceleration is a measure of how quickly an object slows down. It is usually expressed in meters per second squared (m/s²) or feet per second squared (ft/s²).

How is the magnitude of deceleration calculated?

The magnitude of deceleration can be calculated by dividing the change in velocity by the time it took for the object to decelerate. The formula for calculating magnitude of deceleration is a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

What is the unit of measurement for magnitude of deceleration?

The unit of measurement for magnitude of deceleration is meters per second squared (m/s²) or feet per second squared (ft/s²). This unit represents the change in velocity per unit of time.

How does the magnitude of deceleration affect an object's movement?

The magnitude of deceleration is directly proportional to the amount of force acting on an object. This means that a greater magnitude of deceleration will cause an object to slow down faster, while a smaller magnitude of deceleration will cause a slower decrease in speed.

What factors can affect the magnitude of deceleration?

The magnitude of deceleration can be affected by various factors such as the mass and speed of the object, the surface it is decelerating on, and the presence of any external forces like friction or air resistance.

Similar threads

  • Introductory Physics Homework Help
Replies
20
Views
881
  • Introductory Physics Homework Help
Replies
6
Views
720
  • Introductory Physics Homework Help
Replies
8
Views
2K
  • Art, Music, History, and Linguistics
2
Replies
46
Views
3K
  • Introductory Physics Homework Help
Replies
7
Views
4K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
1K
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
940
  • Introductory Physics Homework Help
Replies
1
Views
3K
Back
Top