Remember s = v t and E = m c2 in my explanation.
Special relativity goes on the assumption that the speed of light is the same in all inertial frames of reference irrespective of the motion of the observer (say a ship on the ocean) or source (say a light in the lighthouse).
v = s / t, so if the speed of light with speed v stays the same throughout then distance and time become relative.
So as something travels faster and faster it becomes shorter lengthwise (length contraction) but takes more time to do so (time dilation).
There is the law of energy conservation, but thanks to E = m c2 there is also the law of mass-energy conservation, they are both related.
(Example given upon request.)
As the object travels near the speed of light, the energy given to move an object making it go faster and faster at relativistic speeds is instead converted into mass (mass dilation).
Relativistic speeds are speeds near the speed of light say at least ~0.1c where c is 3 x 108 m s-1.