Skydiving A skydiver has a downward velocity given by v1t2
Chapter 7, Problem 96(choose chapter or problem)
Skydiving A skydiver has a downward velocity given by v1t2 = VT a 1 - e-2gt>VT 1 + e-2gt>VT b, where t = 0 is the instant the skydiver starts falling, g _ 9.8 m>s2 is the acceleration due to gravity, and VT is the terminal velocity of the skydiver. a. Evaluate v102 and lim tS_ v1t2 and interpret these results. b. Graph the velocity function. c. Verify by integration that the position function is given by s1t2 = VT t + VT 2 g ln a 1 + e-2gt>VT 2 b, where s_1t2 = v1t2 and s102 = 0. d. Graph the position function. (See the Guided Project Terminal velocity for more details on free fall and terminal velocity.)
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