Here's another special relativity problem, this one's a bit harder to wrap your head around than the last one:

A car approaches a ditch at relativistic speed. When both at rest, the car is large enough to drive over the ditch without falling in. However, from the ditch's reference frame, the moving car is length contracted such that it is small enough to fall into the ditch. But remember that from the car's reference frame, the ditch, which was already too small, is length contracted, which means its even smaller, so it would definitely be too small for the car to fall in.

The car is rigid, which means it cannot bend. Also, assume that if it were to fall into the ditch, it would stop moving the instant it fell.

Will the car drive over the ditch or will it fall in? Justify your answer.