Calculating Stopping Distance for Car Traveling at 3.0v

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SUMMARY

The stopping distance for a car traveling at an initial speed of 3.0v can be calculated using the kinematic equations of motion, specifically the equation that relates acceleration, distance, and initial and final velocities. The relevant equation is derived from the principle of constant acceleration, which states that the stopping distance increases with the square of the initial speed. Therefore, if the stopping distance at speed v is d, the stopping distance at speed 3.0v is 9d, assuming constant braking acceleration.

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  • Understanding of kinematic equations in physics
  • Knowledge of constant acceleration principles
  • Basic algebra for manipulating equations
  • Familiarity with units of speed and distance
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  • Study the kinematic equations in detail, focusing on their applications in motion problems
  • Explore the concept of constant acceleration and its implications in real-world scenarios
  • Practice solving problems involving stopping distances and braking forces
  • Investigate the effects of different braking accelerations on stopping distances
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Students learning physics, educators teaching motion concepts, and anyone interested in understanding vehicle dynamics and safety measures related to stopping distances.

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A car traveling at speed v takes distance d to stop after breaks are applied. What is the stopping distance if the car is initially traveling at speed 3.0v? Assume that the acceleration due to the braking is the same in both cases.

I am really new to physics and this question doesn't make sense to me at all. If anyone can help it would be greatly appreciated.
 
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I assume that this is a case of constant acceleration. In that case, there is an equation that relates the acceleration to the distance traveled and the initial and final velocities. Refer to the table The Kinematic Equations at this link: http://www.physicsclassroom.com/class/1DKin/Lesson-6/Kinematic-Equations The equation you want is the top right one.

See if you can proceed from there and let us know.
 
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