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8 Vector represents a displacement in the eastern direction while vector () represents a displacement north. Distances are in kilometres. The position vector of a plane for AUA airlines from its starting position in Vienna is (360) 480 a) Find the position of the AUA plane after 2 hours. (25 given by G) = (40) to0) Speeds are in km/h and tis time after 00 hour. %3D b) What is the speed of the plane? 155) 1300 relative to Vienna and moving with a velocity vector (4s0, flying at the plane for LH airline started at the same time from a location -360 same height as the AUA plane. Show that if the LH plane does not change route, the two planes will collide. Find the time of the potential collision. d)) To avoid collision, the LH plane is ordered to leave its position and start moving at a velocity of 40 one hour after it started. Find the position vector of the LH -390 plane at that time. e) How far apart are the two planes after two hours?

8 Vector represents a displacement in the eastern direction while vector () represents a displacement north. Distances are in kilometres. The position vector of a plane for AUA airlines from its starting position in Vienna is (360) 480 a) Find the position of the AUA plane after 2 hours. (25 given by G) = (40) to0) Speeds are in km/h and tis time after 00 hour. %3D b) What is the speed of the plane? 155) 1300 relative to Vienna and moving with a velocity vector (4s0, flying at the plane for LH airline started at the same time from a location -360 same height as the AUA plane. Show that if the LH plane does not change route, the two planes will collide. Find the time of the potential collision. d)) To avoid collision, the LH plane is ordered to leave its position and start moving at a velocity of 40 one hour after it started. Find the position vector of the LH -390 plane at that time. e) How far apart are the two planes after two hours?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
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PART D ONLY I AM UPLOADING ALL AS SEPARATE QUESTIONS SO THEY DON'T GET REJECTED LOL

vise, ch of nr 8 Vector represents a displacement in the eastern direction while vector (9) represents a displacement north. Distances are in kilometres. The position vector of a plane for AUA airlines from its starting position in Vienna is 360 480 a) Find the position of the AUA plane after 2 hours. G)- = + t0). Speeds are in km/h and tis time after 00 hour. 40 b) What is the speed of the plane? -155 1300 relative to Vienna and moving with a velocity vector 50, flying at the ) A plane for LH airline started at the same time from a location -360 same height as the AUA plane. Show that if the LH plane does not change route, the two planes will collide. Find the time of the potential collision. d) To avoid collision, the LH plane is ordered to leave its position and start moving at a velocity of 450 one hour after it started. Find the position vector of the LH | plane at that time. e) How far apart are the two planes after two hours? 3. 3601 745 b. loo0 55 4. 1300 366 130
Transcribed Image Text:vise, ch of nr 8 Vector represents a displacement in the eastern direction while vector (9) represents a displacement north. Distances are in kilometres. The position vector of a plane for AUA airlines from its starting position in Vienna is 360 480 a) Find the position of the AUA plane after 2 hours. G)- = + t0). Speeds are in km/h and tis time after 00 hour. 40 b) What is the speed of the plane? -155 1300 relative to Vienna and moving with a velocity vector 50, flying at the ) A plane for LH airline started at the same time from a location -360 same height as the AUA plane. Show that if the LH plane does not change route, the two planes will collide. Find the time of the potential collision. d) To avoid collision, the LH plane is ordered to leave its position and start moving at a velocity of 450 one hour after it started. Find the position vector of the LH | plane at that time. e) How far apart are the two planes after two hours? 3. 3601 745 b. loo0 55 4. 1300 366 130
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