I have recently been reminded of a problem a friend posed to me many months ago in special relativity that I was never able to address: Suppose we have a person inside a moving spaceship of proper length L. According to an observer outside the ship, the person inside the ship is at rest (corresponding to a relative frame velocity equal and opposite to the velocity of the ship). The ship, therefore, appears lorentz contracted to this observer. At high enough velocity, the proper length of the ship would be contracted to the point at which the man inside would appear to be crushed. Initially when I examined the problem, I did so in three cases: I) The person moves at constant velocity. II) The person accelerates from v=0 while inside the ship. III) The person accelerates from v!=0 while inside the ship. Case I) has a solution I was able to obtain, in that the situation reduces to the "barn-door" paradox. For II and III I was unable to get very far, however. My intuition says the person must impact the opposite wall of the spaceship before ever being able to accelerate up to the required velocity for the "contraction death" to occur. I made some attempt to demonstrate this, but ultimately failed. Any thoughts?