Since the numbers involved are absurd to the human mind let’s divide them all by 100 and construct a scenario closer to daily life.
It might take under a minute to reach train tracks 4 km (2.5 miles) away but you obviously can’t just aim for a head on collision with a TGV or similar. Neither can you jump out and grab on to a train moving at 280 km/h (174 mph) relative to you.
You could drive straight up to the tracks, turn parallel to them, and catch the train. That’s pretty wasteful in time and fuel consumption.
Ideal is approaching in an arc where you reach the trains speed once you’re parallel to the tracks. The downside to this is timing. You can only go when the apex of the arc will coincide with the train going past.
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