1) [20 pts] The Drone Snatcher 5000 is designed to bring down unregistered drones around airports and limited airspace. It launches a spherical device designed to release a weighted net

just before hitting the drone. An internal gyroscope keeps the net oriented at a specified angle in order to open perpendicular to the flight path at a pre-programmed time. Prior to opening, air resistance can be neglected and the only force acting on it is gravity. A DSM airport security officer is trying to remove an unregistered aerial drone from above the main terminal building. She unpacks the Drone Snatcher 5000 a distance (d) up a nearby hill (incline angle e) to get a clear view and sets the launch angle to e degrees above the horizontal. She sees the drone begin to hover in place, (h m) directly above the center of the roof, and sets to work with the calculations. a) What launch speed, vo, should the officer set to get a direct hit on the drone? b) What time delay from launch to impact, tr, should she set so that the net releases immediately prior to impact? c) What flight angle at impact, a, should be set to ensure the net releases perpendicular to the flight path? d) What is the radius of curvature of the flight path, p, just before impact?