Which car has the greater deceleration rate?

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SUMMARY

In a collision between a 2500 kg truck and a 1250 kg car traveling at the same speed in opposite directions, the smaller car experiences a greater deceleration rate. This conclusion is drawn from the principle of momentum, where the combined wreckage moves in the direction of the truck, resulting in a larger change in velocity for the car. Since both vehicles undergo the same duration of collision, the car's greater change in velocity directly correlates to a higher average deceleration.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with momentum conservation principles
  • Knowledge of average acceleration and deceleration calculations
  • Basic algebra for solving equations
NEXT STEPS
  • Study the principles of momentum conservation in collisions
  • Learn how to calculate average deceleration using the formula a = Δv / t
  • Explore real-world applications of collision analysis in automotive safety
  • Investigate the effects of mass and velocity on collision outcomes
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Physics students, automotive engineers, and anyone interested in understanding the dynamics of vehicle collisions and deceleration rates.

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Homework Statement


A 2500 kg truck collides into a 1250 kg car. Both cars were traveling the same speed in opposite directions. Which car has the greater deceleration rate?

2500 kg truck
1250 kg car
the same deceleration

Homework Equations



J=Pf-Pi=Ft


The Attempt at a Solution



i chose the same because a=v/t, and i thought theyd have the same delta v
 
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Welcome to PF!

Assuming the cars stick together in the collision do you then know in which direction the combined wrecks travel right after collision? (hint: use momentum). From this information can you then conclude which car experience the greatest change in velocity and if this also corresponds to the greatest average deceleration? (hint: duration of collision is same for both cars, so greatest change in velocity equals greatest average deceleration).
 


the cars would probably travel in the direction of the truck, so the smaller car would have the greater change in velocity.
 

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