5) If you jump out of an airplane at high altitude, but do not open your parachute, you will soon be falling at a constant velocity called your "terminal velocity". Suppose that at time t = 0 you jump. When t = 15 seconds, your wrist altimeter shows that your distance from the ground, d, is 3600 meters. When t = 35, you have dropped to d = 2400 meters above the ground. Assume that you have already reached your terminal velocity by the time t = 15. a) Explain why d varies linearly with t after you have reached your terminal velocity. b) Write an equation expressing d in terms of t. c) If you neglect to open your parachute, when will you hit the ground? d) According to your linear model, how high was the airplane when you jumped? e) Sketch a reasonable graph of d versus t, showing the linear part, the part before you reached terminal velocity, and the part after you open your parachute.

5) If you jump out of an airplane at high altitude, but do not open your parachute, you will soon be falling at a constant velocity called your "terminal velocity". Suppose that at time t = 0 you jump. When t = 15 seconds, your wrist altimeter shows that your distance from the ground, d, is 3600 meters. When t = 35, you have dropped to d = 2400 meters above the ground. Assume that you have already reached your terminal velocity by the time t = 15. a) Explain why d varies linearly with t after you have reached your terminal velocity. b) Write an equation expressing d in terms of t. c) If you neglect to open your parachute, when will you hit the ground? d) According to your linear model, how high was the airplane when you jumped? e) Sketch a reasonable graph of d versus t, showing the linear part, the part before you reached terminal velocity, and the part after you open your parachute.