I3

Problem 1: Any object, big or small, falling in the air will reach a terminal velocity, given enough height. I would like you to describe the motion of such an object using a hybrid one- dimensional kinematic model: a period of uniformly accelerated motion to reach the termina velocity vt, followed by uniform motion at the terminal velocity ve to the point of landing. Use the hybrid model described above to derive a formula for the time of flight in terms of three parameters: the initial height H, terminal velocity vt, and acceleration due to gravity g