Question

the figure below shows the graph of three functions: one is the graph of position function S of a car, one is its velocity, and one is its acceleration. I dentify each

Answer 1

I've done that same exact problem 3 times now.

Answer 2

PROTIP: look at the zeros of each function. They tell you a lot.

Answer 3

@inkyvoyd i have looked at the zeros and there is two graphs that cross at the same zero

Answer 4

Remember, if a function has a horizontal tangent slope than its derivative is zero.

Answer 5

Observe how the dotted line corresponds to the dashed line.

Answer 6

@inkyvoyd I see how it crosses so the dotted line would be the derivative of the dashed line while the solid line is the derivative of the dotted line s: --- v: ..... a: solid line?

Answer 7

still confused

Answer 8

How about you start by assuming that one of the graphs is the position function, then checking from there?

For example, I'll assume that the solid line is the position graph. Does one of the others work as a velocity graph? No, because when the solid line starts decreasing, neither of the other graphs have zeroes.

Try that for the other two lines.

Answer 9

what confuses me is that the dotted line crosses the x axis where the dashed line has a horizontal slope and then then the dashed line crosses where the dotted line has a horizontal slope or maybe im wrong @DDCamp

Answer 10

Yeah, I noticed that too and chalked it up to me being too tired to realize something.
I *think* that the dashed line is position.

Answer 11

okay ya it is confusing well thank you for your help

Answer 12

Yeah, I'm pretty certain now. The dashed line starts going up when the dotted line has a zero, and the dotted line changes when the solid line has a zero.