The 2nd order ODE given below models the vertical fall of onObject under the influence of gravity and air frictionmd²yacceleration-mg+ (1/2 Co A Pair) (dy) ²Forcing due logranty Forcing due to air friction where CD = drag coefficient for sphere. A = frontal cross-sectional area of thesphere = pi*r2 Consider a steal sphere of diameter 2 cm is thrown out of a planeflying at an altitude of 1000m with no initial vertical velocity.a)Write down a 1st order ODE system by reducing the order of the ODE givenabove. Define also the initial condition for the initial value problem definedabove.b) Solve the IVP using Matlab's ODE Toolbox and plot the time vs altitude of thesphere. Include the plot with the right format (axis labels, legends, ...) in yoursolution sheet and include your Matlab script in the solution as wellc) Use the ODE toolbox to calculate the terminal velocity of spheres of differentdiameters. D sphere = [0.002m 0.02m 0.2m]. Plot D sphere vs Terminal velocityin Matlab. Include the plot with the right format (axis labels, legends, ...) in yoursolution sheet and include your Matlab script in the solution as well.

Given Data: md2ydt2=-mg+0.5CDAρairdydt2 To Find: (a) Solve the initial value problem

The 2nd Object under the influence of gravity and air mdy order ODE given below models the vertical fall of on griction =-mg acceleration t Forcing dure lograinly ('/₂Co A Pair) (dy) ² Forcing due to air friction

The 2nd Object under the influence of gravity and air mdy order ODE given below models the vertical fall of on griction =-mg acceleration t Forcing dure lograinly ('/₂Co A Pair) (dy) ² Forcing due to air friction

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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