A vehicle to travel 10m in the fastest possible time without using 
batteries as a power of source.How would you explain the device.

A suicide bomber, maybe?  Seriously, you are going to have to define
your boundary conditions much better.  What is the vehicle's intended
payload?  How many G-forces or what impulse force can the payload
withstand?  Is the vehicle supposed to be used more than once?  What
media is the vehicle traveling through?  Offhand, I think a railgun
projectile is the fastest thing humans have made, outside of atomic
particle accelerators and light bulbs.

I would say directed explosive decompression would probably do the trick nicely.

As hsthompson validly pointed out, there needs to be more information
on the parameters of this experiment. I am going to interpret vehicle
as some sort of wheeled device like a car or cycle.
In that sense, you have two choices, propel the device by providing
rotational energy to the wheels, or propel the device with a reaction
engine (i.e. jet or rocket)
Since you are only looking to travel 10 meters at a fast speed, I
would recommend a reaction engine. You would lose too much energy and
acceleration to friction by providing energy to the wheels.
You would also want the highest power to weight ratio that you can
afford.
If this is like a model car, a hobby rocket engine strapped to the
back would provide a very fast acceleration for the 10 meter course.
Be very careful if using a roket engine. Even though they are built
for models, they are still extremely dangerous. Do not use without
experience or supervision.
Other options (depending on size and weight) are CO2 cartridges or air
pressure (an empty plastic soda bottle pumped full of high pressure
air).

-flajason