If you jump out of an airplane and your parachute fails to open, your downward velocity

Chapter 5, Problem 41

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If you jump out of an airplane and your parachute fails to open, your downward velocity (in meters per second) t seconds after the jump is approximated by v(t) = 49(1 (0.8187)t). (a) Write an expression for the distance you fall in T seconds. (b) If you jump from 5000 meters above the ground, estimate, using trial and error, how many seconds you fall before hitting the ground.

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