# Bicycle Kinematics

**Classical Mechanics**Level pending

There are two cyclists on a straight bike path. Cyclist 1 is initially stationary as Cyclist 2 passes from behind at a constant speed of \(5 \text{ m/s}\). Cyclist 1 begins accelerating forward at a constant rate of **\(\alpha\)** when Cyclist 2 is 30 meters ahead. He accelerates for a period of time, and then decelerates at a rate of **\(\alpha\)** until he simultaneously matches the speed and position of Cyclist 2 30 seconds after beginning to move. Determine the value of **\(\alpha\)** in \(\text{m/s{^{2}\).