An object of mass 70 kg is dropped from a rest position at a height of 500 m at t=0. The velocity of free fall (v) as a

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An Object Of Mass 70 Kg Is Dropped From A Rest Position At A Height Of 500 M At T 0 The Velocity Of Free Fall V As A 1 (142.41 KiB) Viewed 56 times

An object of mass 70 kg is dropped from a rest position at a height of 500 m at t=0. The velocity of free fall (v) as a function of time (t) is governed by the ODE dv V dt where g = 9.81 m/s? but c is the drag coefficient of air, which is not known. A remote sensor was able to measure the velocity of fall at various times as given in the following table. = g - m с - t(s) 0 4 10 14 21 26 31 38 v (m/s) 0 29.9 52.8 59.6 66.8 67.6 68.8 68.6 Compute the value of the drag coefficient c. dv Hint: Numerically compute and use a curve-fitting method to find the constant. dt Need help setting up a numerical method showing the equations to be implemented in Matlab.