# 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 $$m/s^2$$.

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