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 mg s(1) = s - where g = 32.17 fi/s? 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. Hint: At t=0, s=s(0)=300ft. On the ground s=0. Using Fixed point iteration method with initial guess t0=3 sec, find the solution up to t7. Draw a graph in mathematica as well.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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
mg
s(1) = 8o
+
where g = 32.17 fus? 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.
Hint: At t=0, s=s(0)=300ft. On the ground s=0. Using Fixed point iteration method with
initial guess t0=3 sec, find the solution up to t7. Draw a graph in mathematica as well.
Transcribed Image Text: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 mg s(1) = 8o + where g = 32.17 fus? 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. Hint: At t=0, s=s(0)=300ft. On the ground s=0. Using Fixed point iteration method with initial guess t0=3 sec, find the solution up to t7. Draw a graph in mathematica as well.
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