Free fall One possible model that describes the free fall
Chapter , Problem 54(choose chapter or problem)
Free fall One possible model that describes the free fall of an object in a gravitational field subject to air resistance uses the equation v_1t2 = g - bv, where v1t2 is the velocity of the object for t 0, T T T g = 9.8 m>s2 is the acceleration due to gravity, and b 7 0 is a constant that involves the mass of the object and the air resistance. a. Verify by substitution that a solution of the equation, subject to the initial condition v102 = 0, is v1t2 = g b 11 - e-bt2. b. Graph the solution with b = 0.1 s-1. c. Using the graph in part (c), estimate the terminal velocity lim tS_ v1t2.
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