Can you explain this complicated Acceleration Problem (Physics)?

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A bus has stopped to pick up riders. A student is approaching the bus from behind on the sidewalk at a constant velocity of 5 m/s. When he is 10 m from the bus, the bus pulls forward with a constant acceleration of 1 m/s2. If the student continues running at the same velocity, what is his acceleration in m/s2?

My professor gave possible formulas such as v0 t + 1/2 at2, but it's just not clear for me in understanding how to go about this problem. Please explain how you solved this problem as well as the correct formula to use. Thanks, I really appreciate it. Physics is kicking my butt.
 
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