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yes. Displacement is the integral of velocity right?

Correct, what does the integral of a function mean?

area under the curve

Why does it mean that? Pretend I don't know and explain to me where that idea comes from please :D

Think first, how do you calculate the area under a curve?

no, I was answering a friend's text. Sorry

Oh no problems :D :D

as the summation of ....

taking the limit

sigma

delta xk

i dont remember totally lol

What does it stand for in terms of the problem at hand?

f(x)

yes

the change of velocity over time?

correct

or an exact point of velocity in a certain time?

so acceleration?

Oh wait no sorry I just saw velocity

but i thought that the slope of the graph meant acceleration which is f'(x). I am confused

It stands for velocity i.e. the rate of change of position over time

sooooooo. f(t) in the graph of velocity vs time. Is still velocity?

Yes

if f(t) gives is velocity and t is time then, the following tells me how velocity changes over time:

but that is the definition of acceleration

how velocity changes over time

|dw:1442106917949:dw|

I guess it would be instantaneous velocity right?

Sorry it is really hard to draw using this thing

I mean velocity at a certain point

but so far with your explaination. I guess the answer is 1 lol

kind of makes sense. I mean which what i know of integrals

i was refering to answer #1

Ok then so it is clear the meaning of f here is the velocity curve correct?

Thank you for the medal btw

right?

Wait 2 medals? lol who else is in here?!?!

I had to refresh because my backspace key ceased to function for some reason.

umm. Could you repeat the question? sorry lol

i do not understand what you are asking me :/

because the velocity is a vector, so if the velocity is negative its integral is negative right?

\[\int\limits_{a}^{b} f(t) dt \approx \sum_{n=0}^{N} f(t^{*}_{n}) \Delta t_{n}\]

I am actually lost with the formula lol

Ok no this is good we have identified your hang up :D feel good this means progress can ensue

but the answer is #1 right?

i'll submit

ohhh i see

yuhu! yeah it was correct!

but yeah. I think I got it

|dw:1442108030512:dw|

Ok sorry the drawing is a mess it is so hard to draw in this thing

hey btw could you help me with another problem?

Does this make sense?

Checking the units wil reveal that this is indeed a unit of distance

Does this make sense to you?

Sure go ahead