Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_46

2/46 Repeat Prob. 2/45 for the case where aerodynamic drag is included. The magnitude of the drag deceleration is \(kv^2\), where \(k = 3.5(10^{-3}) \text{ ft}^{-1}\) and \(v\) is the speed in feet per second. The direction of the drag is opposite the motion of the projectile throughout the flight (when the projectile is moving upward, the drag is directed downward, and when the projectile is moving downward, the drag is directed upward). Reference Prob. 2/45: A projectile is fired vertically from point \(A\) with an initial speed of \(255 \text{ ft/sec}\). Relative to an observer located at \(B\), at what times will the line of sight to the projectile make an angle of \(30^\circ\) with the horizontal? Compute the magnitude of the speed of the projectile at each time. Geometry from Problem 2/45 Figure: Horizontal distance between firing point \(A\) and observer \(B\) is \(375 \text{ ft}\).