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A cyclist is coasting at 13 m/s when she starts down a 420 m long slope...

A cyclist is coasting at 13 m/s when she starts down a 420 m long slope that is 30 m high. The cyclist and her bicycle have a combined mass of 70 kg. A steady 11 N drag force due to air resistance acts on her as she coasts all the way to the bottom.

What is her speed at the bottom of the slope?
Express your answer with the appropriate units.

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