Braking Distance: Increasing Speed by 75% - What Happens?

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Homework Help Overview

The discussion revolves around the relationship between speed and braking distance in the context of a car's braking performance. The original poster is exploring how an increase in speed by 75% affects the minimum braking distance, while ignoring the driver's reaction time.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to approach the problem without specific numerical values or variables. They seek guidance on relating various factors involved in braking distance.
  • Some participants mention the non-linear relationship between speed and braking distance, suggesting that braking distance increases more significantly than speed.
  • There is a suggestion to consider kinematic equations for constant acceleration to eliminate time as a variable.

Discussion Status

The discussion is ongoing, with participants providing insights and prompting further exploration of the problem. While some guidance has been offered regarding the relationship between speed and braking distance, there is no explicit consensus on the approach to take.

Contextual Notes

The original poster notes a lack of specific numerical values for acceleration, distance, or time, which may be impacting their ability to formulate a solution. Additionally, the discussion includes a reminder to post in the appropriate homework forum.

Morgan89
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If the speed of a car is increased by 75%, by what factor will its minimum braking distance be increased, assuming all else is the same? Ignore the driver's reaction time

I'm not sure how to start this problem. I am not sure what to do without any numbers to use in a formula. I do not know any specific variables for acceleration, distance, or time and i am not sure how i am souposed to relate everything to find the answer...help!
 
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Please post in the homework forum
 
Welcome to PF, Morgan. I can't help at all with any math stuff. I will tell you, though, that from both personal experience and basic engineering the relationship between speed and braking time are not directly proportional. The braking distance goes up more than the speed.
 
Morgan89 said:
If the speed of a car is increased by 75%, by what factor will its minimum braking distance be increased, assuming all else is the same? Ignore the driver's reaction time

I'm not sure how to start this problem. I am not sure what to do without any numbers to use in a formula. I do not know any specific variables for acceleration, distance, or time and i am not sure how i am souposed to relate everything to find the answer...help!

Think about the kinematic equations for constant acceleration and how you might eliminate time as a variable.
 

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