Exercise 5 The analytic expression of the fall velocity v(t) of a mass m acted u

Question

Exercise 5 The analytic expression of the fall velocity v(t) of a mass m acted upon by an air drag cd at time t is

determines the new interval of interest. A second if statement is used to ens that once a certain tolerance bas been achieved, ie, the absolute value of function exp(z) -tan(r) is kess than 10 5, then the iteration processis stopp bisection m clear all clear all variables xr--2.8; initial right boundary xi--4; initial left boundary for j 1:1000 j cuts the interval calculate the midpoint f c exp(xc)-tan (xc); calculate function if fc 0 xi-xc; move left boundary else xr xc; move right boundary end if abs(fc)

Explanation / Answer

The expression for fall velocity after substituting the given values comes as,

sqrt ( m) = (36/ sqrt 40) coth ((sqrt (2.5/m))*4) ;

This equation can be solved graphically and the intersection points give the required solutions.

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