# 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? Jun 9, 2014 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? Jun 9, 2014 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. Jun 9, 2014 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 $t$. Jun 17, 2014 at 18:12