# Riding round and round

A motorbike starts from rest at time $$t=0$$ and begins to accelerate around a circular track as shown in the figure below. Eventually, at time $$t=t_1$$ the motorbike reaches the maximum velocity possible without slipping off the track. What's the minimum length in meters the motorbike must travel between $$t=0$$ and $$t=t_1$$?

Details and assumptions

• Assume that the friction coefficient everywhere on the race track is the same.
• The motorbike wheels never slip on the track as it accelerates.
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