Asked Dec 17, 2019

A Coast Guard cutter detects an unidentified ship at a distance
of 20.0 km in the direction 15.0° east of north. The ship
is traveling at 26.0 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 50.0
km/h, in what direction should it head? Express the direction
as a compass bearing with respect to due north. (b) Find the
time required for the cutter to intercept the ship.


Expert Answer

Step 1

(a) Consider the diagram below.


Image Transcriptionclose

North 150 25.0 40.0 do de 15.0 East 15.0

Step 2

Along the direction of east,


Image Transcriptionclose

d sin a = d, sin 25° (50.0km/h)rsin a = (26.0km/h)fsin 25° (26.0km/h)( sin 25°) a = sin- 50.0km/h =12.7°

Step 3

Direct with respect ...


Image Transcriptionclose

e = a +15° =(12.7°)+(15°) (east of north) = 27.7°


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: A graph of position versustime for a certain particlemoving along the x - axis isshown in Figure P2....

A: Formula to find the average velocity is,Here, xf is the final position, xi is the initial position, ...


Q: What relationship between distance travelled and time did Galileo discover for accelerating objects?

A: He discovered distance travelled is proportional to the square of the time.


Q: A certain car has a fuel efficiency of 25.0 miles per gallon (mi/gal). Express this efficiency in ki...

A: Given:Fuel efficiency of a car = 25 miles per gallon


Q: When the sun was directly overhead in syene,why was it not directly overhead in Alexandria?

A: For any city to be directly overhead the sun, the city must be present between the tropic of cancer ...


Q: A speedboat moving at 30.0 m/s approaches a no-wake buoymarker 1.00 x 102 m ahead. The pilot slows t...

A: Let u be the initial velocity of the speedboat, a be the acceleration, v be its final velocity, s be...


Q: A steam catapult launches a jet aircraft from the aircraft carrierJohn C. Stennis, giving it a speed...

A: Steam catapult starts from rest, so its initial speed is vi=0ms-1.The catapult reaches to the final ...


Q: Stand next to the wall that travels at 30km/s relative to the sun. With your feet on the ground you ...

A: Given that a person is standing next a wall, and the wall travels at a speed of 30km/s relative to t...


Q: Calculate (a) the x - component and (b) the y - component ofthe vector with magnitude 24.0 m and dir...

A: Given: A vector with magnitude 24.0 m and direction 56.0°


Q: A 2,300-kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 3.00 m...

A: The total distance of the pile driver fall is