The velocity of an object falling through a resisting medium such as air or water is given by

where v₀ is the initial velocity, t is the time in seconds, and k is the resistance constant of the medium. Use L'Hôpital's Rule to find the formula for the velocity of a falling body in a vacuum by fixing v₀ and t and letting k approach zero. (Assume that the downward direction is positive.)

Transcribed Image Text:

y = 32 1 - e-kt + Voke-kt 32