Atmospheric drag is proportional to su2 where s is surface area and v is velocity. kinetic energy is proportioanl to mu2 where m is mass. terminal velocity is that velocity where the drag force balances the force due to gravity (mg). (a) show that the terminal velocity, v scales like m1/6 for similarly shaped objects. (b) show that the kinetic energy per unit area scales as m2/3. (c) use this to comment on what happens to small vs large animals if they fall down a great height. (d) show that the height at which terminal velocity is reached scales like m1/3 (hint recall from hs physics that potential energy is mgh.)