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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!

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