Use bisection to determine the drag coefficient needed so th

Use bisection to determine the drag coefficient needed so that an 80 Kg parachutist has velocity of 36 m/s after four (4) s of a free fall. Start with initial guess of xi - 3 and x_u = 5 approximate relative error falls less than 2%. The velocity v of a falling parachutist is given by v=gm/c(1-e^-c/m)t) Where =9.81 m/s^2.

Solution

we know that the velocity of the falling parachutist is

v= gm/c (1- e^(-c/m)t)

here mass of the parachutist m=80kg

velocity of the parachutist at t=4 sec, v(4)= 36m/s and g= 9.81 m/s^2

substituting the values we have

36 = (9.81*80)/cd (1- e^cd*4/80)

f(cd) = 784.8/cd (1- e^cd/20)