# velocity vs distance.

• Sep 15th 2008, 08:32 PM
Legendsn3verdie
velocity vs distance.
how would this distance version of this graph look?
http://i176.photobucket.com/albums/w...ntitled-76.jpg
• Sep 15th 2008, 08:42 PM
Jhevon
Quote:

Originally Posted by Legendsn3verdie
how would this distance version of this graph look?
http://i176.photobucket.com/albums/w...ntitled-76.jpg

it would look like a rigid $\displaystyle \sqrt{x}$-graph, i think. the slope of which keeps getting smaller.

however, you should note that the area under this graph gives the distance traveled
• Sep 15th 2008, 09:05 PM
Legendsn3verdie
Quote:

Originally Posted by Jhevon
it would look like a rigid $\displaystyle \sqrt{x}$-graph, i think. the slope of which keeps getting smaller.

however, you should note that the area under this graph gives the distance traveled

hm not seeing it.
• Sep 15th 2008, 09:09 PM
Soroban
Hello, Legendsn3verdie!

Quote:

How would this distance version of this graph look?

We get all our clues from your Velocity graph.

Code:

                                 e                                 o                         d  *      *                         o          *                       *              *                     *                 c  *                  o                 o                    f       a        *       o        *       *    *           o           b

On (a,b), the velocity is negative;
the object is heading in the negative direction.
The velocity is becoming "less negative" (slowing down)
and the object comes to a stop at $\displaystyle b.$

On (b, c), the velocity is positive;
the object is moving in the positive direction
The velocity is increasing (speeding up).

On (c,d), the object has a constant velocity.
Its distance is increasing at a constant rate.

On (d, e), the object is still moving in the positive direction,
but the velocity is become "less positive" (slowing down),
and comes to a stop at $\displaystyle e.$

On (e, f), the velocity is negative;
the object is moving in the negative direction.
And the velocity is getting "more negative" (speeding up).