Assuming no air resistance or forces other than the Earth's gravity, the height above the ground at time t (in seconds) of a falling object is given by s(t) 4.9t² + vot + so, where s is in meters, vo is the object's initial velocity (in -), and so is the initial height of the object (in m). m S Enter all answers (including endpoints of intervals) rounded to one decimal place. a) In the context of the problem, what does v₁ = 0 mean? object is at rest b) What is the applied domain of s(t) 4.9t² + 38t + 24? (in interval notation) c) Now suppose the object is propelled upwards from the ground so = 0 with an intitial velocity of 35 1) What is the object's maximum height above the ground? m S 2) When does the object hit the ground? = = S . d) Further suppose the object is propelled upwards from so = 24 m above the ground with an intitial velocity of 35 When does the object hit the ground? m S m