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Classical Mechanics Level 4

A spacecraft approaching Earth very quickly is observed at a distance of $D.$ This has never happened before, so you check your instruments for time $\Delta t,$ and then you check the position of the craft again.

Now you can see it at a distance of $D- 3 c \Delta t,$ where $c$ is the speed of light.

The craft is traveling at a constant speed of $v$ directly toward Earth. What is $v?$

Assume you have made your measurements from an inertial frame very close to Earth.

Hint: The correct solution requires no transformation.

\frac12 c

\frac35 c

\frac23 c

\frac34 c

\frac{999}{1000}c

\frac32 c

3c

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