anonymous
  • anonymous
An ant is crawling along a straight wire, which we shall call the x axis, from A to B to C to D (which overlaps A), as shown in the figure below. O is the origin. Suppose you take measurements and find that AB is 62.0 cm, BC is 42.0 cm, and AO is 3.00 cm.What is the ant’s position at point B?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1328482924512:dw|
asnaseer
  • asnaseer
where is point C?
anonymous
  • anonymous
|dw:1328484105023:dw|

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asnaseer
  • asnaseer
|dw:1328484223243:dw| so at point B, the ant is 62-3 units away from the origin. i.e. it is positioned at x=59
anonymous
  • anonymous
do you know how to find the distance and displacement from point c to d
asnaseer
  • asnaseer
C to D would just be 62-42=20
anonymous
  • anonymous
what is the the displacement from a to d
asnaseer
  • asnaseer
they tell you that A and D overlap - so what do you think the displacement from A to D is?
anonymous
  • anonymous
-3
asnaseer
  • asnaseer
i.e. how far would you have to travel from A in order to get to D?
anonymous
  • anonymous
zero
asnaseer
  • asnaseer
correct
anonymous
  • anonymous
how about the displacement
asnaseer
  • asnaseer
displacement = distance travelled
anonymous
  • anonymous
so would it be 0
asnaseer
  • asnaseer
thats it - looks like you've mastered this now :)
anonymous
  • anonymous
thank you. so when ever we want to find the position of the ant we have to think how far away from the orgin is it
asnaseer
  • asnaseer
you are more than welcome. and yes, position is always relative to the origin. displacement is just the distance travelled.
anonymous
  • anonymous
so they are the same ting. one more thing the displacent from c to d is negattive but the distance is positive . do you know why
asnaseer
  • asnaseer
C to D displacement is negative because you are travelling to the left. moving left to right along the x-axis is positive displacement. moving right to left along the x-axis is negative displacement.
anonymous
  • anonymous
how about distance
asnaseer
  • asnaseer
distance travelled is always positive.
anonymous
  • anonymous
distance and displacement are the same thing but in displacement we have to show positive or negative
asnaseer
  • asnaseer
distance and displacement have the same magnitude (i.e. size). distance is always positive and tells you how far you travelled. displacement has a sign that tells you in which direction you travelled.
anonymous
  • anonymous
great definition
asnaseer
  • asnaseer
I'm glad I was able to help. :)
anonymous
  • anonymous
:) . when we are asked postion is referring to distance or displacement
asnaseer
  • asnaseer
position is always relative to the origin. so you apply a displacement to where ever you are right now. that will take you either to the left or right of where you are now (depending on the sign of the displacement). where ever you end up, your position is how far you are from the origin.
anonymous
  • anonymous
can you help me with finding position c
asnaseer
  • asnaseer
we know B is positioned at x=59 (from above) and C is 42cm to the left of this, so C's position is x=59-42=17.
anonymous
  • anonymous
that what i got too. thanks
asnaseer
  • asnaseer
similarly, A and D's positions are x=-3
asnaseer
  • asnaseer
as they are to the left of the origin O
anonymous
  • anonymous
oh okay i see.

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