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

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Increasing a car's speed by 75% significantly impacts its minimum braking distance, which is not directly proportional to speed. The relationship between speed and braking distance is governed by physics, specifically kinematic equations, indicating that braking distance increases with the square of the speed. Therefore, if speed increases by 75%, the braking distance will increase by a factor greater than 2. Participants in the discussion express uncertainty about how to approach the problem without specific numerical values or variables. Understanding the underlying physics principles is essential for solving this type of problem effectively.
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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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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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