Question

A glider aircraft initially traveling due west at 77.0 km/h encounters a sudden gust of wind at 33.0 km/h directed toward the northeast (see the figure below). What are the speed and direction of the glider relative to the ground during the wind gust? (The velocity of the glider with respect to the ground is the velocity of the gilder with respect to the wind plus the velocity of the wind with respect to the ground.) magnitude direction km/h north of west glider 命. Wind

Magnitude =57.98km/h , need direction please!

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Vinitial=-77i

Vfinal=33cos45i+33sin45j=23.33i+23.33j

V=-77i+23.33i+23.33j=-53.67i +23.33j

magnitude

|V|=sqrt[(-53.67)2+23.332]=58.5 km/h

direction

o=tan-1(23.33/-53.67)=-23.5o

23.5o north of west

Add a comment
Know the answer?
Add Answer to:
Magnitude =57.98km/h , need direction please! A glider aircraft initially traveling due west at 77.0 km/h...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A glider aircraft initially traveling due west at 84.0 km/h encounters a sudden gust of wind...

    A glider aircraft initially traveling due west at 84.0 km/h encounters a sudden gust of wind at 34.5 km/h directed toward the northeast. What are the speed and direction of the glider relative to the ground during the wind gust? (The velocity of the glider with respect to the ground is the velocity of the gilder with respect to the wind plus the velocity of the wind with respect to the ground.)

  • The pilot of an aircraft wishes to fly due west in a 54-km/h wind blowing toward...

    The pilot of an aircraft wishes to fly due west in a 54-km/h wind blowing toward the south. If the speed of the aircraft relative to the air is 177 km/h, (a) in what direction (degrees north of west) should the aircraft head, and (b) what will be its speed (km/h) relative to the ground? Caution: The speed relative to the air is not the same as the speed relative to the ground. The pilot wishes to fly due west...

  • The pilot of an aircraft wishes to fly due west in a 41.0 km/h wind blowing...

    The pilot of an aircraft wishes to fly due west in a 41.0 km/h wind blowing toward the south. The speed of the aircraft relative to the air is 225 km/h. (a) In what direction should the aircraft head? (b)What will be its speed relative to the ground?

  • The pilot of an airplane notes that the compass indicates a heading due west. The airplane's...

    The pilot of an airplane notes that the compass indicates a heading due west. The airplane's speed relative to the air is 200 km/h. If there is a wind of 26.0 km/h toward the north, find the velocity of the airplane relative to the ground. Magnitude ??? km/h Direction ??? ° north of west

  • The pilot of an airplane notes that the compass indicates a heading due west. The airplane's...

    The pilot of an airplane notes that the compass indicates a heading due west. The airplane's speed relative to the air is 170 km/h. The air is moving in a wind at 26.0 km/h toward the north. Find the velocity of the airplane relative to the ground. Magnitude km/h Direction ° north of west

  • Question 4, A glider flies south east (at 320.0 degrees) at 25.0 Km/h. a wind blows...

    Question 4, A glider flies south east (at 320.0 degrees) at 25.0 Km/h. a wind blows at 12.0 Km/h from 15.0 degrees south of west. What is the new velocity of the glider with respect to the ground in standard position?

  • The pilot of an airplane notes that the compass indicates a heading due west. The airplane's...

    The pilot of an airplane notes that the compass indicates a heading due west. The airplane's speed relative to the air is 110 km/h. The air is moving in a wind at 29.0 km/h toward the north. Find the velocity of the airplane relative to the ground. Magnitude _______ km/h Direction ______

  • An SUV, traveling west at 86.6 km/h, is being pursued by a police cruiser, moving at...

    An SUV, traveling west at 86.6 km/h, is being pursued by a police cruiser, moving at 101.9 km/h. (a) Find the velocity of the SUV (magnitude and direction) relative to the police cruiser. (Give the magnitude in km/h.) magnitude km/h direction ---Select--- east west (b) Find the velocity of the police cruiser (magnitude and direction) relative to the SUV. (Give the magnitude in km/h.) magnitude km/h direction ---Select--- east west (c) How much time (in s) will it take the...

  • Constants Part A An airplane pilot wishes to fly due west. A wind of 84.0 km/h...

    Constants Part A An airplane pilot wishes to fly due west. A wind of 84.0 km/h is blowing toward the south ' the airspood of the plane Ots speed in sti. air) is 400.0 km/h . in which direction should the pilot head? Express your answer as an angle measured north of west north of west Submit Request Answer Part B What is the speed of the plane over the ground? km/h Submit Request Answer Provide Feedback

  • A plane is initially 350 km away from Louisville in the direction 30.0◦ north of west...

    A plane is initially 350 km away from Louisville in the direction 30.0◦ north of west traveling due south at a speed of 160 km/hr. Three hours later, the plane is 190 km due south of Louisville traveling at a speed of 150 km/hr in the direction 40.0◦ north of east. (a) (10 points) Draw the vector diagram you would use to calculate the average velocity. (b) What is the average velocity (including magnitude and direction)? (c) Draw the vector...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT