Intro Physics distance-to-a-stop

AI Thread Summary
The discussion focuses on calculating the total distance an automobile covers before stopping, considering a reaction time of 0.700 seconds and an initial speed of 15.0 mi/h with a deceleration of 12.0 ft/s^2. The participant struggles with unit conversions, particularly converting feet to meters, which is crucial for obtaining the correct answer. They realize that 12 ft/s^2 should be converted to approximately 3.66 m/s^2, highlighting the importance of accurate unit conversion in physics problems. The confusion about the answer format, whether in meters or miles, is also addressed. Ultimately, accurate conversions and understanding of the equations are essential for solving the problem correctly.
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Homework Statement



The "reaction time" of the average automobile driver is about 0.700 s. (The reaction time is the interval between the perception of a signal to stop and the application of the brakes.) If an automobile can slow down with an acceleration of 12.0 ft/s^2, compute the total distance covered in coming to a stop after a signal is observed from an initial velocity of 15.0 mi/h. Give your answer in meters.


Homework Equations



v=(x-x0)/t

v^2=v0^2 + 2a(x-x0)

The Attempt at a Solution



My attempt is attached below. This is one of many attempts and I still am not getting the correct answer. I feel this attempt may be the closest (at least in concept) out of all of them. Thanks in advance for all the help :)
 

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I noticed that you converted your units. Perhaps they wanted the answer in feet or miles? I can't see any errors from brief inspection.
 
Yeah it is online homework. The space provided looks like this:

After the answer box where I type my answer in, it has an "m" after it.

So I'm guessing the "m" means meters right? I've always seen meters as m and miles as mi.
 
check your acceleration conversion, you think 12 feet is 365.76m?
 
You're right that doesn't make sense. I think I forgot to divide by 100. It should be 12ft = 3.66 m

It's scary because I did that conversion over three times and apparently forgot to divide by 100 every time.

Thanks for the catch
 
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