Which of Juliette's statements is not a true statement about a position vs. time graph?
1- "A steeper slope means a higher average velocity (faster motion)."
2- "A horizontal line has zero slope. Therefore, a horizontal line on the position vs. time graph means that the average velocity is zero."
3- "The sign of the slope gives the sign of the average velocity and, therefore, the direction of motion."
4- "A horizontal line has infinite slope. Therefore, a horizontal line on the position vs. time graph means that the average velocity is zero."
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I am doing my physics homework right now
I know the 4th one makes no sense. I mean a horizontal slope does not mean that it is infinite
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it means 0 slope. But some others make no sense either
But could you explain to me why it could not be the other ones? It is just they are confusing :/
Did you erase it?
I got confused.
I did not read it correctly.
ohh ok no problem :)
so that one is false too?
It asks me for the statement that is not true
Oh no wonder I was confused because I know that A and B are true.
C might be true.
D is obviously false.
A horizontal line always have a slope of zero.
The question should be phrased "Which of Julitte statement is false?" instead
I saw a true lol and I thought it was asking for true.
So D is false?
Yea thats what I said.
yuhu! yeah that was the correct one !
but could you explain to me why the other ones are false?
i mean true, sorry
"The sign of the slope gives the sign of the average velocity and, therefore, the direction of motion."
Average velocity formula vf-vi/2
If slope is decreasing vf would be less than vi.
A (lesser number - greater number)/2= negative number
Slop decreasing is a negative number and so does the average velocity.
When the the curve is horizontal angle x=0 and hence tan 0 = 0. Therefore velocity which is equal to the slope of position-time graph is also zero.