Jodi's bus leaves at 5:30pm and accelerates at the rate of 3 meters per second per second. Jodi, who can run 5 meters per second, arrives at the bus station 2 seconds after the bus has departed.
(a) Find parametric equations that describe the motion of the bus and Jodi as a function of time.
(b) Determine algebraically whether Jodi will catch the bus. If so, when?
HINT GIVEN FOR PART (a):
The position s at time t of an object having acceleration a is s = (1/2) * (at^2)