Question 8: 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 height So and that the height of the object after t seconds is mg st)-04 -kt/m. where g 32.17 ft/s2 and k represents the coefficient of air resistance in lb-s/ft. Suppose so = 300 ft, m = 0.25 lb, and k = 0.1 lb-s/ft. sing Matlab and the method of your choice find, to within 0.01 s, the time it takes this quarter-pounder to hit the ground