Was Either Car Speeding at the Time of the Accident?

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SUMMARY

The discussion centers on determining whether either the 2006 Cadillac Escapade or the 2007 Honda Accord Hybrid was speeding at the time of an accident. Using the coefficient of kinetic friction of 0.68 and the skid mark length of 13.9 meters, calculations reveal that the initial speed of the Cadillac was approximately 13.61 m/s (49.0 km/h), which exceeds the 30 mph (48.3 km/h) speed limit. Therefore, the Cadillac driver should be ticketed for speeding, while the Honda driver remains compliant with speed regulations.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of kinetic friction and its coefficient
  • Knowledge of basic physics equations related to motion, specifically Vf^2=Vi^2+2ad
  • Ability to convert units between miles per hour and kilometers per hour
NEXT STEPS
  • Study the application of Newton's laws in collision analysis
  • Learn about the principles of friction and its role in vehicle dynamics
  • Explore advanced physics equations for motion analysis in accidents
  • Investigate the methods for calculating stopping distances and speeds in accident reconstruction
USEFUL FOR

This discussion is beneficial for physics students, accident reconstruction specialists, law enforcement officers, and anyone interested in understanding the dynamics of vehicle collisions and speed regulation compliance.

High_Voltage
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Homework Statement


You arrive at the scene of an automobile accident and are asked to determine which, if any, of the cars was speeding. You immediately begin gathering information. The accident occurred on dry concrete and the tires of both cars are made of rubber. The coefficient of kinetic friction is .68. The first car, a 2006 Cadillac Escapade, approached from the North while the other, a 2007 Honda Accord Hybrid, approached from the West. The two cars stuck together and produced a skid mark 66 degrees South of East (at 294 degrees). The length of the skidmark is 13.9m. According to the manuals inside of the cars, the Honda has a mass of 1640kg while the Cadillac has a mass of 2675kg. Each car in a 30 mile per hour zone at the time of the crash. One mile is equivalent to 1.6km. Should either driver be issued a ticket for speeding?


Homework Equations


p=mv
Vf^2=Vi^2+2ad
Ffk= µ x Fn



The Attempt at a Solution



28755.16 Newtons / 4315kg = 6.664m/s^2

Vf^2=Vi^2+2ad
0^2=Vi^2+2(6.664)(13.9)
Vi=13.61m/s
 
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Good so far. What do you think that speed of 13.61 m/s represents?

What is the next step?
 

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