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?

- anonymous

- katieb

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- anonymous

|dw:1328482924512:dw|

- asnaseer

where is point C?

- anonymous

|dw:1328484105023:dw|

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## More answers

- 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

do you know how to find the distance and displacement from point c to d

- asnaseer

C to D would just be 62-42=20

- anonymous

what is the the displacement from a to d

- asnaseer

they tell you that A and D overlap - so what do you think the displacement from A to D is?

- anonymous

-3

- asnaseer

i.e. how far would you have to travel from A in order to get to D?

- anonymous

zero

- asnaseer

correct

- anonymous

how about the displacement

- asnaseer

displacement = distance travelled

- anonymous

so would it be 0

- asnaseer

thats it - looks like you've mastered this now :)

- 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

you are more than welcome.
and yes, position is always relative to the origin.
displacement is just the distance travelled.

- 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

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

how about distance

- asnaseer

distance travelled is always positive.

- anonymous

distance and displacement are the same thing but in displacement we have to show positive or negative

- 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

great definition

- asnaseer

I'm glad I was able to help. :)

- anonymous

:) . when we are asked postion is referring to distance or displacement

- 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

can you help me with finding position c

- 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

that what i got too. thanks

- asnaseer

similarly, A and D's positions are x=-3

- asnaseer

as they are to the left of the origin O

- anonymous

oh okay i see.

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