# Journey of the pebble

Classical Mechanics Level pending

A cyclist traveling at $$5.0 \text{ m/s}$$ uniformly accelerates up to $$10.0 \text{ m/s}$$ in $$2.0 \text{ s.}$$ Each tire of the bike has a $$35 \text{ cm}$$ radius, and a small pebble is caught in the tread of one tire. Approximately how far around the wheel does the pebble travel during that acceleration for $$2$$ seconds?

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