From a height of 3 meters above ground level, a rock with mass m = 4 kg is hurled into the air with an initial velocity of 10 m/sec. Let y denote the rock's height, in meters above the ground, at time t seconds after it is hurled. In addition to a gravitational force with Fg = mg with g = 9.8 m/sec2, the moving rock experiences air resistance directly proportional to the velocity, y', that is, a resistive force Fr = cy', with c = 0.02. The model my'' = −(Fg + Fr) describes this situation.
To the nearest 0.01 seconds, when does the rock achieve its maximum height?
To the nearest 0.1 meters, what is the maximum height that it achieves?