DYNAMICS  CASE STUDY



Introduction



A cargo plane has to drop a relief package to people in
need. How can the pilot determine when to drop the package?
What is known:
 The plane is flying level (vertical velocity = 0) at 600 ft.
 The plane is traveling at 176 ft/s in a straight line toward the drop target.
 The wind resistance on the package can be neglected.






Question

Problem Diagram


When releasing the package, at what angle θ down from the horizontal must the pilot see the target for the package to land on the target?




Approach


 Use vectors to analyze curvilinear motion.
 Resolve the vectors for curvilinear motion into rectangular components.
 Integrate the acceleration to find the horizontal distance covered by the package, then use trigonometry to determine the angle θ.



