A student is running at her top speed of 4.6 m/s to catch a bus, which is stopped at the bus stop. When the student is still a distance 38.9 m from the bus, it starts to pull away, moving with a constant acceleration of 0.177 m/s^2.
A) For how much time does the student have to run at 4.6 m/s before she overtakes the bus?
I got 10.6s for this part by setting the distance equations for each to one another and solving for time.
Then I'm not sure how to set up the rest...
B) For what distance does the student have to run at 4.6 m/s before she overtakes the bus?
C) When she reaches the bus, how fast is the bus traveling?
D) What is the minimum speed the student must have to just catch up with the bus?
E) For what time does she have to run in that case?
F) For what distance does she have to run in that case?