(Solution) 13 A Person Is Parachute Jumping. | Snapessays.com


(Solution) 13 A person is parachute jumping.


13 A person is parachute jumping. During the time betweenwhen she leaps out of the plane and when she opens her chute, heraltitude is given by an equation of the formy = b ? ct + ke?t/k,where e is the base of natural logarithms, and b, c, and k are constants.Because of air resistance, her velocity does not increase at asteady rate as it would for an object falling in vacuum.(a) What units would b, c, and k have to have for the equation tomake sense?(b) Find the person’s velocity, v, as a function of time. [You willneed to use the chain rule, and the fact that d(ex)/dx = ex.]?(c) Use your answer from part (b) to get an interpretation of theconstant c. [Hint: e?x approaches zero for large values of x.](d) Find the person’s acceleration, a, as a function of time.?(e) Use your answer from part (d) to show that if she waits longenough to open her chute, her acceleration will become very small

 


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This question was answered on: May 23, 2022

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