2. A pedestrian is running at his maximum speed of 6.0 m/s trying to catch a bus that is stopped at a traffic light. Whe

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2. A pedestrian is running at his maximum speed of 6.0 m/s
trying to catch a bus that is stopped at a traffic light. When he
is 16 m from the bus, the light changes and the bus pulls away from
the pedestrian with an acceleration of 1.0 m/s2.
(a) Does the pedestrian catch the bus and, if so, how far does
he have to run? (If not, what is the pedestrian’s distance of
closest approach?)
(b) How fast is the bus moving when the pedestrian catches it?
(or at the distance of closest approach)
(c) On a single set of axes, plot the corresponding
position-time graphs of both the bus and pedestrian to confirm your
answer in (a).