# Hyperloop: Drag

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. The drag force on the $$15000~\mbox{kg}$$ Hyperloop pod traveling at approximately $$300~\mbox{m/s}$$ is $$320~\mbox{N}$$. If the drag force follows the usual law of $$F_d=Cv^2$$, where $$C$$ is a constant and $$v$$ is the velocity, then how long would it take in seconds for the Hyperloop pod to slow down to $$150~\mbox{m/s}$$?

Note: it's a pretty long time, which gives you an idea of why the Hyperloop is pretty energy efficient.

Details and assumptions

• Assume drag is the only force on the Hyperloop pod.
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