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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