Thread: velocity vs distance.

1. velocity vs distance.

how would this distance version of this graph look?

2. Originally Posted by Legendsn3verdie
how would this distance version of this graph look?
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

3. 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.

4. Hello, Legendsn3verdie!

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).