Exceeding Light Speed: Fair Enough

Did some quick research to see if my idea had already been shot down, possibly by some old German scientist. But I haven't seen anything like that yet, so let's get it on!

My idea is a simple one: take a device that can move at near-light speeds, get it going at full speed, and then launch another near-light speed device from it.

So let's say we have an antimatter engine pushing a ship at near-light speeds. Sure, none have been created yet, but theoretically, such an engine would create enough thrust to get pretty high on the speed scales. Now let's say that that mounted on the front of the antimatter engine ship, we have a railgun that can fire objects at near-light speeds. Well, if you fire that gun while the ship is moving at top speeds, the porjectile should exceed the speed of light.

Now let's see what dumbass "science" has to say about that:

Most individuals are accustomed to the addition rule of velocities: if two cars approach each other from opposite directions, each travelling at a speed of 50 kilometres per hour (31 miles per hour), one expects that each car will perceive the other as approaching at a combined speed of 50 + 50 = 100 km/h (62 mph) to a very high degree of accuracy.

At velocities at or approaching the speed of light, however, it becomes clear from experimental results that this rule does not apply. Two spaceships approaching each other, each travelling at 90% the speed of light relative to some third observer between them, do not perceive each other as approaching at 90% + 90% = 180% the speed of light; instead they each perceive the other as approaching at slightly less than 99.5% the speed of light.

The difference here is that velocities are being added in a head-to-head style. This guy's 90% coming at my 90% creates a weird frame of reference, so that their near-light speeds appear to only add upto a slightly greater near-light speed.

But let's say there was dude sitting in antimatter ship travelling at 90% the speed of light. Then the railgun fires off a pumpkin (because pumpkins are awesome) at 50% the speed of light. That pumpkin should be whooping light speed's ASS.

Unless we're supposed to believe... what? That the dude in the ship will see the launched pumpkin as just kinda hovering in front of him? Refusing to break the speed of light?

Ha. Doubtful. There's also some scientific mumbo-jumbo about how light appears to be moving at the same speed no matter what your frame of reference (ie: how fast you are moving in relation to light) is.

But once again, how fast a beam of light appears to be moving has nothing to do with how fast a massive object (like the pumpkin) will appear to be moving. So while there may not be any antimatter engines, there are still various other engine prototypes that can reach... let's say... 10% the speed of light. So by stringing together enough of these things and launching them off one another, we should be able to break the speed of light.

Or tear a hole in causality and the fabric of time, but that's what science should be all about.