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