Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_38

2/37 The stories of a tall building are uniformly 10 feet in height. A ball $A$ is dropped from the rooftop position shown. Determine the times required for it to pass the 10 feet of the first, tenth, and one-hundredth stories (counted from the top). Neglect aerodynamic drag. 2/38 Repeat Prob. 2/37, except now include the effects of aerodynamic drag. The drag force causes an acceleration component in $\text{ft/sec}^2$ of $0.005v^2$ in the direction opposite the velocity vector, where $v$ is in $\text{ft/sec}$.