An object falling vertically through the air is subjected to viscous resistance as well as to the forceof gravity. Assume that an object with mass m is dropped from a height so and that the height of theobject after t seconds ismgs(1) = 50 -where g = 32.17 fls² and k represents the coefficient of air resistance in Ib-s/ft. Suppose so = 300 ft,m= 0.25 lb, and k = 0.1 lb-s/ft. Find, to within 0.01 s, the time it takes this quarter-pounder to hit theground.

Given: g=32.17 ft/s2so=300 ftm=0.25 lb k=0.1 lb-s/ftgiven equations(t)=so-mgkt+m2gk21-e-kt/m

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