A student is running at top speed of 5 m/s to catch a bus. The bus is stopped at a stop sign. When the student is still 40 m from the bus, it starts to pull away slowly with a constant acceleration of 0.17r m/s"2 due to trafc. a) The student continues to run at 5 m/s. Will he/she overtake the bus? If so. how long will it take and at what distance will the bus be caught? b) It he/she is able to reach the bus, how fast will the bus be traveling at that time? c) Sketch a xit) versus 't' graph for both the bus and the person. For the initial position of the student, let X{O) d) For the equations used to solve part a), there may be two possible times for interception of bus and person if both continue with their specied motion. Explain the signicance of the second solution. How fast is the bus going when they intercept each other a second time? e) What is the minimum speed for the student to just catch the bus on the first try? For what student speed and distance would this occur? Bus acceleration rate stays the same