Car collision using multiple formulas

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SUMMARY

The discussion revolves around a physics problem involving a westbound car traveling at 35 mph, 45 feet from an intersection where another car is turning. To determine if the westbound car can stop or if the turning car can complete its turn safely, participants suggest calculating the time it takes for the westbound car to cover the distance and comparing it to the time required for the turning car to complete its maneuver. Key formulas mentioned include the kinematic equation Vf² = Vo² - 2ad, and considerations for reaction time, estimated at 0.4 seconds, and increased braking distance due to light rain are emphasized as critical factors in the analysis.

PREREQUISITES
  • Understanding of kinematic equations, specifically Vf² = Vo² - 2ad
  • Knowledge of vehicle dynamics, including stopping distances and acceleration rates
  • Familiarity with reaction time metrics for drivers
  • Basic principles of physics related to motion and forces
NEXT STEPS
  • Calculate stopping distance for a vehicle at 35 mph under dry and wet conditions
  • Research the effects of weather on vehicle braking performance
  • Study the physics of turning maneuvers and their timing
  • Explore advanced kinematic equations for varying acceleration scenarios
USEFUL FOR

Students studying physics, automotive engineers, traffic safety analysts, and anyone interested in vehicle dynamics and collision avoidance strategies.

kzita
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Homework Statement


I'm not sure where to begin with this problem

A car is traveling West at 35mph. 45 feet in front of this car is an intersection , and another car is about to turn in front of the westbound car. Could the car safely complete the left hand turn , or would the westbound car have to come to a complete stop to avoid striking the other vehicle. I have read that 2-3 seconds between cars is an adequate amount of time for reactions , and what if the westbound car just let off the gas. How would I be able to account for a light rain as well?
I'm not exactly sure where to start with this problem , but any assistance would be appreciated.


Homework Equations


Vf^2 = Vo^2 -2ad


The Attempt at a Solution


I know this is really basic , but I'm not sure where to turn exactly...
 
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kzita said:

Homework Statement


I'm not sure where to begin with this problem

A car is traveling West at 35mph. 45 feet in front of this car is an intersection , and another car is about to turn in front of the westbound car. Could the car safely complete the left hand turn , or would the westbound car have to come to a complete stop to avoid striking the other vehicle. I have read that 2-3 seconds between cars is an adequate amount of time for reactions , and what if the westbound car just let off the gas. How would I be able to account for a light rain as well?
I'm not exactly sure where to start with this problem , but any assistance would be appreciated.

Homework Equations


Vf^2 = Vo^2 -2ad

The Attempt at a Solution


I know this is really basic , but I'm not sure where to turn exactly...

You need to estimate - or be told - how long the turning car will take to complete its turn.

You could consider how long it takes the moving car to cover the 45 feet at a speed of 35mph.

If those two times are equal, then the turn should be safely completed.

You could consider if the car can even stop before the intersection. What is the braking distance for a car traveling at 35 mph? certainly if there was light rain the braking distance would be greater.
Who knows, stopping might not be an option if it is raining - or even if it is fine.

Unless you have access to reasonable braking rates and acceleration rates [the turning car has to accelerate] you will most probably assume unrealistic values for at least one of them.

EDIT: btw 0.4 seconds is deemed a reasonable reaction rate for an alert driver. Reaction time is the time before you begin doing what ever you decide to do.
 

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