Hyperloop: Dropping coins

The Hyperloop is a hypothetical new fast transport system between cities, which works by launching pods that carry people through a very low air pressure tunnel. While riding in the Hyperloop, some coins fall out of your pocket, taking 1/3 of a second to hit the ground. How much more quickly would the coins have hit the ground if you were sitting still in seconds?

Details and assumptions

  • The radius of the earth is 6370 km6370~\mbox{km}.
  • The Hyperloop travels at 300 m/s300~\mbox{m/s}.
  • When sitting still relative to the Earth's surface, acceleration toward the Earth is 9.8 m/s2-9.8~\mbox{m/s}^2.
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