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/s. (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).