Hmmm... With the platform going from basically zero (90 miles per hour comparative to lightspeed is basically zero) to 2C in a minimal period of time, I'd say that the platform will stomp on Earth's escape velocity, which is a measly 11.2 kilometers per second, and laugh about it. As others have said, and to put it into perspective, the moon performs an eliptical orbit which puts it between 1.2 and 1.4 light seconds around Earth, or 360kkm and 405kkm min-max. If you translate that into "megameters" it's 360 and 405 megameters.
Reaching 600 megameters per second, which again is 2C or twice the speed of light, means that the platform would be outside moon orbit in less than half second after reaching max speed.
Surpassing the speed of light in normal space is a good enough reason to blow up, so I'm okay with that.
What I don't see is how there would be something to blow up, as upon reaching 1Xc mass reaches infinity and the platform should become photons in its entirety. Even applying the "tinker bullshit" factor, it strains my SoD a little.
I would strongly suggest to Mr. Cmptwz to reduce the max speed of the platform by one order of magnitude, i.e. lowering from 600 to 60 megameters per second the final speed of the platform.
I think the issue here was the unit used, the megameter, which should correspond to one million meters. You have the kilometer just in the middle, which means that a megameter is one thousand kilometers.