Physics 101 help please!?

Problem 2 (6 marks). You are running to catch a bus which has just started to

move away from the stop. You are on a flat, straight road and you and the bus both

start from zero velocity at time t = 0 s. Given the data below:

Object Acceleration Max speed Stamina

Human 0 – 30 km/h in 5 s 30 km/h Can go at top speed for 10 s.

Bus 0 – 50 km/h in 15 s 50 km/h Can go at top speed for a long

time

a) How far can you run before you get exhausted?

b) How far has the bus moved in the meantime?

c) Based on your answers in the first 2 parts, what is the maximum distance you

can be behind the bus to catch up with it? (Whether the driver sees you and

stops the bus to let you on is another question.)