A fishing boat in the ocean is moving at a speed of 21.0 km/h and heading in a direction of 40.0° east of north. A lighthouse spots the fishing boat at a distance of 23.0 km from the lighthouse and in a direction of 15.0° east of north. At the moment the fishing boat is spotted, a speedboat launches from a dock adjacent to the lighthouse. The speedboat travels at a speed of 46.0 km/h and heads in a straight line such that it will intercept the fishing boat. (a) How much time, in minutes, does the speedboat take to travel from the dock to the point where it intercepts the fishing boat? min (b) In what direction does the speedboat travel? Express the direction as a compass bearing with respect to due north. ° east of north

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 51P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...
icon
Related questions
Question
A fishing boat in the ocean is moving at a speed of 21.0 km/h and heading in
a direction of 40.0° east of north. A lighthouse spots the fishing boat at a
distance of 23.0 km from the lighthouse and in a direction of 15.0° east of
north. At the moment the fishing boat is spotted, a speedboat launches from
a dock adjacent to the lighthouse. The speedboat travels at a speed of
46.0 km/h and heads in a straight line such that it will intercept the fishing
boat.
(a) How much time, in minutes, does the speedboat take to travel from the
dock to the point where it intercepts the fishing boat?
min
(b) In what direction does the speedboat travel? Express the direction as a
compass bearing with respect to due north.
° east of north
Transcribed Image Text:A fishing boat in the ocean is moving at a speed of 21.0 km/h and heading in a direction of 40.0° east of north. A lighthouse spots the fishing boat at a distance of 23.0 km from the lighthouse and in a direction of 15.0° east of north. At the moment the fishing boat is spotted, a speedboat launches from a dock adjacent to the lighthouse. The speedboat travels at a speed of 46.0 km/h and heads in a straight line such that it will intercept the fishing boat. (a) How much time, in minutes, does the speedboat take to travel from the dock to the point where it intercepts the fishing boat? min (b) In what direction does the speedboat travel? Express the direction as a compass bearing with respect to due north. ° east of north
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University