'Hello, world!' - Rosetta Wakes Up!!

On 20th January 2014, the space probe Rosetta woke up after being in hibernation for 31 months!

Rosetta is currently 800 million kilometres away from Earth (near Jupiter) and over the next few months Rosetta will chase down a Comet known as 67P before harpooning the frozen ball of dirty ice and attempting to land on its surface.

Rosetta is currently nine million kilometres away from 67P, but by using its thrusters over the next 240 days she will close to within 10 km10 \text{ km} by the 15th September 2014.

If all goes according to plan, what will Rosetta's average speed in Km/hr relative to 67P need to be to achieve this?

(Assume Rosetta is in a straight line chase with 67P and that they are both traveling along the same vector.)


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