Free fall Using the background given in Exercise 45,
Chapter , Problem 46(choose chapter or problem)
Free fall Using the background given in Exercise 45, assume the resistance is given by f 1v2 = -Rv, where R 7 0 is a drag coefficient (an assumption often made for a heavy medium such as water or oil). a. Show that the equation can be written in the form v_1t2 = g - bv, where b = R>m. b. For what value of v is v_1t2 = 0? (This equilibrium solution is called the terminal velocity.) c. Find the solution of this separable equation assuming v102 = 0 and 0 6 v 6 g>b. T T T d. Graph the solution found in part (c) with g = 9.8 m>s2, m = 1, and R = 0.1, and verify that the terminal velocity agrees with the value found in part (b).
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