anonymous
  • anonymous
I have designed a new automobile. It's super fast, and shaped like a gall blader. It is able to accelerate from 12 mph to 55 mph in precisely 35 seconds. Assuming constant acceleration, find the following: a) The acceleration in meters per second. b)The distance traveled by the car during those extreme 35 seconds.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
hey, how's it going?
anonymous
  • anonymous
Crappy on this problem...I'm completely stuck. I don't even know where to begin.
anonymous
  • anonymous
is it meters per second or miles per hour?

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anonymous
  • anonymous
Letter a asks for meters per second per second...so I'm guessing per second squared? The actual speeds, mph in a matter of seconds. That's what I'm extremely confused on.
anonymous
  • anonymous
mph in a matter of seconds?
anonymous
  • anonymous
what units are the speeds they give you? miles per hour?
anonymous
  • anonymous
The speeds are given in the units of miles per hour.
anonymous
  • anonymous
that's a bummer. you're sure, right? and they don't give you some kind of conversion?
anonymous
  • anonymous
It just tells me that it goes from 12-55 mph in 35 seconds. Then it says to find the acceleration in meters per second per second. I'm assuming that it expects us to convert on our own, but I'm not exactly sure how.
anonymous
  • anonymous
ok well here's a good trick for that
anonymous
  • anonymous
you want to get from miles per hour to meters per second
anonymous
  • anonymous
right...
anonymous
  • anonymous
what you do is miles/hour * (hour/3600 seconds)
anonymous
  • anonymous
since you can always multiply by 1, that way you get rid of the hours in the denominator
anonymous
  • anonymous
so then you multiply by ( x meters / miles) and hopefully you can figure out how many meters in a mile so i don't have to do it
anonymous
  • anonymous
Do you eliminate mph by doing...12mi/h*h/3600sec?
anonymous
  • anonymous
then multiply by x meters / miles whatever x is from the conversion
anonymous
  • anonymous
This is what I did...12mi/hr*hr/3600 sec=12mi/3600sec*1609.344m/mi=12 1609.344m/3600sec...is this correct?
anonymous
  • anonymous
Then you should simplify and get 1397meters/3125 sec

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