Solve the all parts of following question:
Question: A student is running at her top speed of 5.4m/s to catch a bus, which is stopped at the bus stop. When the student is still a distance 39.9m from the bus, it starts to pull away, moving with a constant acceleration of 0.174m/s2.
Part A: How much time does the student have to run at 5.4m/s before she overtakes the bus?
Part B: What distance does the student have to run at 5.4m/s before she overtakes the bus?
Part C: When she reaches the bus, how fast is the bus traveling?
Part D: If the student's top speed is 2.40m/s, will she catch the bus?
Part E: What is the minimum speed the student must have to just catch up with the bus?
Part F: For what time does she have to run?
Please show all work so I can fully understand all concepts!