How do you work out the reaction distance?

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SUMMARY

The discussion focuses on calculating reaction and braking distances for a vehicle. The user has an initial speed (Vi) of 0 km/h, a final speed (Vf) of 69 km/h, a reaction time of 0.78 seconds, and a deceleration of 4.49 m/s². To determine the reaction distance, the formula d = (1/2)(Vf + Vi) × T is applicable. For the braking distance, the user should utilize kinematic equations to solve for distance (d) using known values of initial speed, final speed, and acceleration.

PREREQUISITES
  • Understanding of kinematic equations
  • Basic knowledge of speed, distance, and time relationships
  • Familiarity with units of measurement (km/h to m/s conversion)
  • Concept of deceleration and its impact on stopping distance
NEXT STEPS
  • Learn how to convert km/h to m/s for accurate calculations
  • Study kinematic equations in detail, focusing on distance calculations
  • Explore the effects of different deceleration rates on stopping distances
  • Practice solving real-world problems involving reaction and braking distances
USEFUL FOR

Students studying physics, automotive safety analysts, and anyone interested in understanding vehicle stopping distances and dynamics.

littlemissbee
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how do you work out the reaction distance??

i have this big assignment to do at school and i can't work out how to find the breaking and reaction distances ... i have a Vi = 0 Vf= 69km/h reaction time= 0.78sec deceleration of 4.49m/s and my total distance i need to find if i go over is 41 m ... i was thinking of useig d=(1/2 (Vf+Vi)xT for my reaction and i don't know how to do the breaking ?? :/ can anyone give me any sujestions on how to do this stuff I am so lost... please :)
 
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littlemissbee said:
i have this big assignment to do at school and i can't work out how to find the breaking and reaction distances ... i have a Vi = 0 Vf= 69km/h
if the car is braking, the initial speed is 69 km/hr and the final speed when it comes to a stop is 0
reaction time= 0.78sec deceleration of 4.49m/s and my total distance i need to find if i go over is 41 m ... i was thinking of useig d=(1/2 (Vf+Vi)xT for my reaction
the speed during the reaction time is constant at 69 km/hr
and i don't know how to do the breaking ?? :/ can anyone give me any sujestions on how to do this stuff I am so lost... please :)
For the braking distance, use one of the kinematic equations where vi, vf, and a are known, solve for d. Then add up the 2 distances and see if the car could stop in less than or more than 41 m.
 

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