1-D Motion, calculating final velocity

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SUMMARY

The discussion centers on calculating the final velocity (vf) in a 1-D motion problem using the kinematic equation vf^2 = vi^2 + 2aΔx. The user initially calculated vf as 4.7 x 10^5 m/s but later realized the error stemmed from a misunderstanding of unit conversion, specifically the length of a centimeter in meters. The correct final velocity, as per the textbook, is 8.7 x 10^5 m/s, highlighting the importance of accurate unit conversions in physics calculations.

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Homework Statement
An electron is moving in a straight line with a velocity of 4x10^5 m/s. It enters a region 5.0 cm long where it undergoes an acceleration of
6.0x10^12 along the same straight line. (a) What is the electron’s velocity when it
emerges from this region? b) How long does the electron take to cross the region?
Relevant Equations
vf^2 = vi^2 + 2a(xf-xi)
Hello!
I have done this problem :
vf^2 = (4.0x10^5)^2 + 2(6.0x10^12)(5x10^-3)
so vf= sqrt((4.0x10^5)^2 + 2(6.0x10^12)(5x10^-3))
I get vf = 4.7 x 10^5 m/s
However, the textbook solutions says vf = 8.7x10^5 m/s.
Where did I go wrong?
Thank you for any help! :)
Screen Shot 2021-10-10 at 2.13.40 PM.png
 
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Well... how long is a cm, again ? In terms of metres, that is.

Does that get you any closer ?
 
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hmmm27 said:
Well... how long is a cm, again ? In terms of metres, that is.

Does that get you any closer ?
Oh no! Of course that changes the result haha.
Thank you so much for pointing that out :)
 
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