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 s0 and that the height of the object after t seconds is:
s(t) = s0 â [(mg)/k]*t + [m2g/k2]*(1 â eâkt/m)
where g = 32.17 ft/s 2 and k represents the coefficient of air resistance in lbs/ft. Suppose s0 = 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 (using the method of your choice, bisection, fixed-point iteration, Newton ...).
Substituting values, I got:
s(x) = 501.0625 - 80.425x - 201.065e^(-0.4x). Can you please double check these values after expansion and simplifications?
But the main problem is finding the solutions for these questions. PLEASE USE MATLAB TO FIND THE ROOT OF THIS EQUATION. ALSO PLEASE USE FIXED POINT ITERATION AND FINALLY PROVIDE THE EXACT CODE AS WELL AS THE RESULT FOR THE QUESTION.
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 s0 and that the height of the object after t seconds is:
s(t) = s0 â [(mg)/k]*t + [m2g/k2]*(1 â eâkt/m)
where g = 32.17 ft/s 2 and k represents the coefficient of air resistance in lbs/ft. Suppose s0 = 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 (using the method of your choice, bisection, fixed-point iteration, Newton ...).
Substituting values, I got:
s(x) = 501.0625 - 80.425x - 201.065e^(-0.4x). Can you please double check these values after expansion and simplifications?
But the main problem is finding the solutions for these questions. PLEASE USE MATLAB TO FIND THE ROOT OF THIS EQUATION. ALSO PLEASE USE FIXED POINT ITERATION AND FINALLY PROVIDE THE EXACT CODE AS WELL AS THE RESULT FOR THE QUESTION.
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