Calculating Distance Traveled When Reacting to an Emergency

In summary, the conversation discusses using reaction time to determine the distance a car traveling at 100km/h would travel between seeing an emergency and slamming on the brakes. The equation d = v*t is used to calculate the distance, with the correct units being crucial for an accurate answer. The final answer is 0.0075 kilometers.
  • #1
Draggu
102
0

Homework Statement


Use your reaction time to determine how far a car you are driving at 100km/h would travel between the time you see an emergency and the time you slam on your brakes.


Homework Equations





The Attempt at a Solution


Given:

v = 100km/h
d = ?
t = 0.27 s

d = v*t
d = 100 * 0.27
=27?

Somehow I think this is wrong.
 
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  • #2
Watch your units. They need to be consistent with each other to get a meaningful answer.
 
  • #3
hage567 said:
Watch your units. They need to be consistent with each other to get a meaningful answer.

Ah true, so 100 * 0.000075
= 0.0075

Therefore, i will travel 0.0075 kilometres during that time.
 

1. How is distance traveled calculated during an emergency?

The distance traveled during an emergency can be calculated by multiplying the initial speed by the reaction time, and then adding the distance traveled during the reaction time to the distance traveled at the final speed. This can be represented by the equation d = v*t + 1/2*a*t^2, where d is the total distance traveled, v is the initial speed, t is the reaction time, and a is the acceleration.

2. What factors affect the distance traveled during an emergency?

The distance traveled during an emergency can be affected by several factors, including the initial speed, the reaction time, and the acceleration. Other factors such as road conditions, weather, and vehicle capabilities can also impact the distance traveled.

3. How does reaction time impact the distance traveled during an emergency?

Reaction time is a critical factor in determining the distance traveled during an emergency. The longer the reaction time, the longer the vehicle will continue at its initial speed, resulting in a longer distance traveled. A shorter reaction time can help reduce the distance traveled and potentially avoid a collision.

4. How does speed affect the distance traveled during an emergency?

The initial speed of a vehicle directly affects the distance traveled during an emergency. The higher the speed, the longer the vehicle will continue at that speed before the driver can react and apply the brakes. This means a higher speed will result in a longer distance traveled before coming to a complete stop.

5. Can the distance traveled during an emergency be reduced?

Yes, the distance traveled during an emergency can be reduced by decreasing the initial speed, improving reaction time, and increasing the acceleration. Additionally, practicing defensive driving techniques and staying alert on the road can also help reduce the distance traveled during an emergency situation.

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