# Velocity at certain point?

I seem to have misunderstood something in velocity. There is a path from point A to point B, that gap between is 100 meters. An object moves from point A to B with a velocity is 10 m/s.

$V=\frac{\Delta x}{\Delta t}$

$x = 100$ $meters$

$t = 10$ $seconds$

Now, within that gap is area x, is the velocity the same knowing that $x$ now is smaller than $100$$m$? The velocity would be less correct?

Also, given the acceleration I still can find the velocity of the object correct? Does it matter what formula I should use?

Edit : The object has a constant acceleration that is: $1$ $m/s^2$

• Why do you think the velocity would be less? – David Z Jun 9 '14 at 6:53
• Based on the formula above? If we want to know that velocity at that point that distance (x) would be less, and the time should be shorter? – Pupil Jun 9 '14 at 7:09
• If the acceleration is a constant 1m/s then the equation of motion is $s = 0.5at^2$ (where $a = 1$). So after 10 seconds the object would only have moved 50m not 100m. – John Rennie Jun 9 '14 at 7:48

• Abstract, I have confined both $X$ & $t$, so that would show the velocity is indeed less. Example: $A$ to $B$ distance is $10$ $m$, while area X distance is $4$ $m$, time of $A$ to $B$ is $3$ $seconds$, while time in $area$ $X$ is 1.5 seconds, by plugging those values in, $10/3$ or $4/1.5$ we see that the velocity is different, and yes we confined both $X$ and $t$. – Pupil Jun 17 '14 at 18:12