A Coast Guard cutter detects an unidentified ship at a distance of 23.0 km in the direction 15.0° east of north. The ship is traveling at 30.0 km/h on a course at 40.0° east of north. The Coast Guard wishes to send a speedboat to intercept and investigate the vessel. (a) If the speedboat travels at 54.0 km/h, in what direction should it head? Express the direction as a compass bearing with respect to due north.   ° east of north (b) Find the time required for the cutter to intercept the ship.  min

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 29P: A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast,...
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A Coast Guard cutter detects an unidentified ship at a distance of 23.0 km in the direction 15.0° east of north. The ship is traveling at 30.0 km/h on a course at 40.0° east of north. The Coast Guard wishes to send a speedboat to intercept and investigate the vessel.

(a) If the speedboat travels at 54.0 km/h, in what direction should it head? Express the direction as a compass bearing with respect to due north.
  ° east of north

(b) Find the time required for the cutter to intercept the ship.
 min
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