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Mathematics 18 Online
OpenStudy (wade123):

calc problem!

OpenStudy (wade123):

number 3?

OpenStudy (mathmate):

For to find the times when "particle is moving right" is equivalent to finding the intervals where v(t)>0. Do you know how to do that?

OpenStudy (wade123):

im not sure, can you explain like the last problem?

OpenStudy (mathmate):

|dw:1421271253007:dw| This is approximately the velocity time graph v(t).

OpenStudy (mathmate):

If v(t)>0, is it moving right or left?

OpenStudy (wade123):

right?

OpenStudy (mathmate):

Good, and if v(t)<0, is it moving right or left?

OpenStudy (wade123):

left?

OpenStudy (mathmate):

Good, last one: when v(t)=0, is it moving right or left?

OpenStudy (wade123):

im not sure..

OpenStudy (mathmate):

haha, I just gave you a tricky question! It's not moving, period! Agree?

OpenStudy (mathmate):

So when v(t)=0, it's moving neither left nor right!

OpenStudy (wade123):

haha yes

OpenStudy (mathmate):

Now, on the graph/sketch I drew, can you identify the region where v(t)>0. Mark on it!

OpenStudy (wade123):

wait what, how do i find that

OpenStudy (mathmate):

The graph is a velocity time graph. The area above the x-axis is the area where v(t)>0, and that below means v(t)<0.

OpenStudy (mathmate):

|dw:1421271839604:dw|

OpenStudy (wade123):

ohh i didnt know what you meant, now i got it

OpenStudy (mathmate):

And the question wants "the time interval(s) when the particle is moving right".

OpenStudy (mathmate):

|dw:1421271974349:dw| Here I have shaded the regions where v(t)>0, which means...

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