A car travels 150 km east before turning and traveling 275 km north. What is the car's displacement?
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OpenStudy (awesome781):
The direction is to use the head-to-tail method to solve the following
OpenStudy (awesome781):
@johnweldon1993
OpenStudy (johnweldon1993):
Right...so imagine we have 2 vectors representing this ...
|dw:1401130469292:dw|
lets add those head to tail
|dw:1401130513724:dw|
OpenStudy (johnweldon1993):
Looks like a right triangle doesnt it?
OpenStudy (awesome781):
yes it does
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OpenStudy (awesome781):
so we use pythagoream theroem thingy?
OpenStudy (johnweldon1993):
Precisely :)
OpenStudy (awesome781):
ok so no?
OpenStudy (johnweldon1993):
lol that's a yes :P
OpenStudy (johnweldon1993):
We have the 2 legs and we want the hypotenuse
\[\large a^2 + b^2 = c^2\]:)
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OpenStudy (awesome781):
oh right.....lol
OpenStudy (awesome781):
hold on
OpenStudy (johnweldon1993):
of course :)
OpenStudy (awesome781):
ok so i got 313.2491022
OpenStudy (johnweldon1993):
313.25 km \(\large \color \red{\checkmark}\)
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OpenStudy (awesome781):
since there are like 3 sig figs i think 313 would be accurate right?
OpenStudy (johnweldon1993):
Correct :)
OpenStudy (awesome781):
ok ^_^
OpenStudy (johnweldon1993):
Yeah when adding you take the number with the least amount of sig figs and use that for the result...since both these numbers were 3 you would have 3 in the result...so yes 313 :)
Great job! :)
OpenStudy (awesome781):
oh ok yeah i figured lol and
thank you very much i really appreciated your help !!
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