A greater mystery is how a physical object can defy inertia from our perspective, leaving the possibility that space-time can be sped up enormously in a localized area. What looks to us like an immediate right hand turn or acceleration could be in a time-warp region that would allow plenty of time to elapse for a maneuver.

It's like using Sherlock Holmes' reasoning that what is left despite improbability may be the key to understanding.

How do we warp space-time around your vehicle?
That's elementary, my dear Watson, to engineers on board the craft.