(Solved): 3. A flat plate of mass m falling freely in air with a velocity V is subject to a downward gravita ...

3. A flat plate of mass $$m$$ falling freely in air with a velocity $$V$$ is subject to a downward gravitational force and an upward frictional drag force due to air. The drag force $$F_D$$ is given by the expression $$F_D=\frac{0.3V^2}{500+(\ln V{)}^3}?0.02V$$ Terminal velocity is reached when the drag force equals the gravitational force $$F_D?mg=0$$ Calculate the terminal velocity using Bisection Method if the mass, $$m=2\mathrm{kg}$$ and $$g=9.81\mathrm{m}/{\mathrm{s}}^2$$. Use any initial interval of $$V=0$$ to $$250\mathrm{m}/\mathrm{s}$$ and stop iteration when $${?}_a?0.1\%$$. Below is the plot for function $$f(V)$$. 4. Now apply False Position Method to solve question 3 above. Discuss your findings regarding calculated assumption value produce by these two methods.