Past exam of the physics 1 paper of the University of Oxford / 2013 / 10 / b / Solution

The berth moves at $0.85c$ in the ship's initial rest frame, so it too is subject to length contraction:The ship remains $100\mathrm{m}$ long in this frame. The two length comparisons use different simultaneous endpoint events; this is the same relativity of simultaneity that resolves the ladder paradox. Physical docking also requires deceleration, whose later effects are outside these initial inertial measurements.