A student is trying to catch a bus that is stopped at a red light. She runs toward it at a constant speed of 6.0m/s. When she is 16m away from the bus, the light turns green and the bus pulls away with an acceleration of 1.0m/s^2.
(a) How far does the student run before catching the bus?
(b) How fast is the bus travelling when the student catches up with it?
The Attempt at a Solution
The main problem i'm having with this questions is getting a grip on uniform acceleration. The questions says that the bus moves with an acceleration of 1.0 m/s^2, so does that mean every second the bus moves 1.0m, or every second the bus moves 1.0m more than it did the previous second? So at 1s it moves 1m, at 2s it moves 3m, at 3s it moves 4m etc.