Calculate distance given accleration, initial & final speed

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SUMMARY

The correct equation to calculate distance given acceleration, initial speed, and final speed is v² = u² + 2as. In this equation, v represents the final speed, u is the initial speed, a is the acceleration, and s denotes the displacement. For scenarios involving deceleration, the acceleration value should be negative; in this case, it is -2.68 m/s². Rearranging the equation allows for the calculation of displacement (s).

PREREQUISITES
  • Understanding of kinematic equations
  • Familiarity with the concepts of acceleration and deceleration
  • Basic algebra for rearranging equations
  • Knowledge of units of measurement in physics (e.g., m/s²)
NEXT STEPS
  • Study the derivation and applications of kinematic equations
  • Learn how to solve problems involving negative acceleration
  • Explore real-world examples of deceleration in automotive physics
  • Investigate the impact of varying initial speeds on displacement calculations
USEFUL FOR

Students in physics, automotive engineers, and anyone interested in understanding motion dynamics and kinematic calculations.

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The equation you've used is finding time, not distance.

The equation to use in this case is:

v^2 = u^2 + 2as

Where v is the final speed, u is the initial speed, a is the acceleration and s is the displacement.

Rearrange this to find s.

Remember that the driver is decelerating, so the acceleration is -2.68 ms^-2.
 

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