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

An object falling vertically through the air is subjected to viscous resistance as well as to the force of gravity. Assume that an object with mass m is dropped from a height so and that the height of the object after t seconds is s(1) = 50 where g = 32.17 f/s² 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 the ground.

An object falling vertically through the air is subjected to viscous resistance as well as to the force of gravity. Assume that an object with mass m is dropped from a height so and that the height of the object after t seconds is s(1) = 50 where g = 32.17 f/s² 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 the ground.