# Riding round and round

**Classical Mechanics**Level 5

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.