A student is running at her top speed of 5m/s to catch a bus,which is stopped at a bus stop. When the student is still 80mbehind the bus, it starts to pull away, moving with a constantacceleration of 0.1m/s2. (a) How much time will be needed forstudent to catch the bus? (b) What distance does the student haveto run before she catches the bus? (c) When she reaches the bus,how fast is the bus traveling? (d) If the student is running tooslow, she will not catch the bus. What is the minimum velocity vmwith which she should run and still catch the bus? (e) At what timeshe would catch the bus now?
