Solving a Physics Problem: Finding Acceleration Without Time | Expert Tips"

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An object with constant acceleration has a velocity of 55.2 m/s at 6.9 m and 82.4 m/s at 12.4 m, leading to confusion about calculating acceleration without time. The equation Vf^2 = Vi^2 + 2a(xf - xi) was used, resulting in an initial incorrect acceleration of 340.25 m/s², which seemed implausible. After discussions and re-evaluating significant figures, the correct answer was confirmed as 340.2 m/s². The user expressed frustration with the homework submission system but ultimately appreciated the community's help. The conversation highlighted the challenges of online homework and the importance of precision in calculations.
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kay well here goes:

An object moving with constant acceleration has a velocity v = 55.2m/s when it is at x = 6.9m and a v = 82.4m/s when it is at x = 12.4m. What is its acceleration?

Now this problem qould be simple if time were given but it isn't so I'm going to need a little bit of help please.

What I did with this one was I plugged the numbers into the following equation:
Vf^2 = Vi^2 +2a(xf - xi)

which gave me,

(82.4)^2 = (55.2)^2 + 2a(12.4 - 6.9)
6789.76 - 3047.04 = 2a(5.5)
a = 340.25m/s^2

whish is needless to say, well...impossible. Is there another way to attack this problem or maybe if someone could please point out my mistake?
 
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That should be right.
 
but it isn't! I submitted my answer (my h/w is done on the net) and it said it was incorrect. too hard!
 
Hmm, let me think for a bit.
 
thanks for taking the time! :)
 
I don't know what's wrong, that answer should be right, maybe I missed something.
 
Last edited by a moderator:
sundrops said:
thanks for taking the time! :)

Can you double check the question? Maybe it was 55.2 m/s at 12.4m and 82.4 m/s at 6.9m?
 
nope its right.

and like its a three part question so I can't attempt the other two parts until i get the first one correct - maybe I'll try submitting it again (we get 3 tries before its marked as wrong)
 
but can something accelerate that quickly? it seems like its accelerating a little too fast... hmmm
 
  • #10
Don't submit it yet! futbol got a different answer! How did you get 134.52? I get the same thing as sundrops: 340.25 m/s^2
 
  • #11
good thing I tried submitting again! I had too many digits in my answer - not the proper amount of sig figs I guess. So the answer is correct! [340.2] (man I hate computers *grumbles*)

thanks to everyone who posted! :D
 
  • #12
wow! you guys are awesome - thanks again!
 
  • #13
Lol, you confused the hell out of me :P Time to get some rest now :P
 
  • #14
sundrops said:
good thing I tried submitting again! I had too many digits in my answer - not the proper amount of sig figs I guess. So the answer is correct! [340.2] (man I hate computers *grumbles*)

thanks to everyone who posted! :D

Cool! Yeesh, that's annoying though.
 
  • #15
g'nite futbol thanks again!
 
  • #16
it sure is! whatever happened to the good ol' days where h/w was done by hand - and marked by people??! lol
 
  • #17
thanks again!
 
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