One question frequently asked about relativity is "what would happen if we went faster than light?". It's sometimes said that time would run backwards. Special relativity tells us that this is simply not possible. The universe has a speed limit of just under the speed of light, and it has a clever way of stopping us from breaking it. As we go faster our apparent mass (i.e. as measured by an external observer) increases in proportion to our speed. In fact our mass seems to increase at the same rate as time slows down (in a similar way to the graph seen earlier). We know from everyday experience that the heavier (i.e. more massive) an object is the more energy is needed to move it.
If we try to move an object just above 0% of the speed of light we will find that it has the mass we expect it to have. However, as noted, the mass of the object will appear to increase in proportion to our speed. For example, at 99.5% of the speed of light the object will "weigh" around 10 times what it did when it was stationary:
As our speed goes ever higher so the apparent mass increases, and so does the energy required to move it. At the speed of light it would take infinite energy to move any mass. Since it's clearly impossible to obtain infinite energy we can never quite reach the speed of light (but we can get as close as our energy supply, and technology, will allow). Note that the occupants of any rocket travelling at very high speeds will not be aware of any increase in mass, just as they wouldn't be aware in any change in the rate that time passes. It's only when they measure the mass of stationary (more accurately, near stationary) observers that they will see that there has been a change in mass. However, the astronauts will perceive that everything around them has changed its mass while their own seems to have remained constant.
However, there is something that can travel at the speed of light, and that is, of course, light! See later in this page for an explanation.