Assuming no air resistance or forces other than the Earth’s gravity, the height above the ground at time t of a falling object is given by s(t) = −4.9t 2 + v0t + s0 where s is in meters, t is in seconds, v0 is the object’s initial velocity in meters per second and s0 is its initial position in meters.

(a) What is the applied domain of this function?
(b) Discuss with your classmates what each of v0 > 0, v0 = 0 and v0 < 0 would mean.