From a height of 7 meters above ground level, a rock with mass m = 4 kg is hurled into the air with an initial velocity of 16 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 F, = mg with g = 9.8 m/sec2, the moving rock experiences air resistance directly proportional to the velocity, y', that is, a resistive force F, = cy', with c = 0.02. The mode my" = -(F, + F) 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 achieves?

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