A student is running to catch the campus shuttle bus, which is stopped at the bus stop. The student is running at a constant speed of 6 m/s; she...

A student is running to catch the campus shuttle bus, which is stopped at the bus stop. The student is running at a constant speed of 6 m/s; she can't run any faster. When the student is still 60 m from the bus, it starts to pull away. The bus moves with a constant acceleration of 0.18 m/s^2. For how much time and how far does the student have to run before she overtakes the bus? And how fast is the bus traveling when she reaches the bus?