How Is Collision Speed Calculated in a Supermarket Parking Lot Incident?

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SUMMARY

The collision speed in a supermarket parking lot incident is calculated using vector addition of the velocities of the two cars involved. The car pulling out has a velocity of 0.8 m/s, while the oncoming car travels at 1.2 m/s, with an angle of 24 degrees between their paths. By applying the law of cosines to these vectors, the resultant collision speed can be determined accurately. This method ensures precise calculation of the impact speed based on the given parameters.

PREREQUISITES
  • Understanding of vector addition and relative velocity concepts
  • Familiarity with the law of cosines in physics
  • Basic knowledge of kinematics and motion
  • Ability to interpret angles and speeds in collision scenarios
NEXT STEPS
  • Study the law of cosines for vector calculations
  • Learn about vector resolution and components in physics
  • Explore real-world applications of collision physics in automotive safety
  • Investigate simulation tools for analyzing vehicle collisions
USEFUL FOR

Physics students, automotive engineers, accident reconstruction specialists, and anyone interested in understanding collision dynamics in vehicular incidents.

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Homework Statement


On a supermarket parking lot, a car is pulling out and bumping into an oncoming car. The car pulls out with 0.8 m/s, while the oncoming car has a speed of 1.2 m/s. The angle between the velocities is 24 degrees, as indicated in the figure. What is the collision speed?


Homework Equations





The Attempt at a Solution

 
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Welcome to PF!

Hi melmel7880! Welcome to PF! :wink:

Relative velocities are vectors, so use a vector triangle …

you are given the lengths of two sides, and the angle between, and you want the third length …

what do you get? :smile:
 

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