A bicyclist, starting from rest, speeds up for \(5.0\text{ s}\). The magnitude of her acceleration during this time interval is \(a_1\). She then stops pedaling and immediately begins coasting to a stop with an acceleration magnitude of \(a_2\). If the bicyclist travels a total distance of \(45\text{ m}\) and for a total time \(\Delta t = 15.0\text{ s,}\) what was the maximum speed reached by the bicyclist?
