A drone must deliver medical supplies to a remote clinic located 6.0 km due north and…
PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane
Problem
A drone must deliver medical supplies to a remote clinic located 6.0 km due north and 8.0 km due east of the drone’s base station. Because of restricted airspace, the drone’s flight path must consist of exactly two straight-line segments.
• Segment 1: The drone flies 7.0 km on a bearing of 25∘ east of north at a constant ground speed of 28 km·h−1.
• Segment 2: Immediately after completing segment 1, the drone heads directly toward the clinic at a constant ground speed of 30 km·h−1.
Using clear diagrams, component analysis, and complete reasoning, answer the following questions.
(1) Determine the displacement vector (magnitude and direction) that the drone must cover during segment 2 so that it arrives precisely at the clinic.
(2) Calculate the heading (compass bearing) the drone must follow during segment 2.
(3) Compute the magnitude and compass bearing of the drone’s average velocity for the entire two-segment flight.