June 12th, 2019, 05:15 PM  #1 
Senior Member Joined: Mar 2019 From: TTF area Posts: 136 Thanks: 1  Plane
A plane flys due east at a constant air speed of 151ms^1. A wind blows at a constant speed of 64ms^1 from the north. Calculate the resultant speed and the direction of the aircraft. So I was thinking. V^2=151^2+64^2 . V=164km h^1 Tan θ= 64/151 θ=23degrees The air speed is 164km in the direction 23degrees east. ? 
June 12th, 2019, 05:34 PM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,267 Thanks: 934 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Dan  
June 12th, 2019, 05:54 PM  #3 
Senior Member Joined: Mar 2019 From: TTF area Posts: 136 Thanks: 1 
Thanks. For practice purposes, let's say the aircraft came somewhere from California and went to Kansas. On the return journey, the pilot wants to fly directly back from Kansas to California . The air speed of the plane is 151ms^1 and the wind still blows at a constant speed of 64ms^1 from the north. In what direction must the plane head to reach California? West? What will be the resultant speed? Would this just be the same? Last edited by skipjack; June 13th, 2019 at 01:45 AM. 
June 12th, 2019, 06:09 PM  #4  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,267 Thanks: 934 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Dan Last edited by skipjack; June 13th, 2019 at 01:45 AM.  
June 13th, 2019, 12:41 PM  #5 
Senior Member Joined: Mar 2019 From: TTF area Posts: 136 Thanks: 1 
If the plane now is going N of W won't the resultant speed be different ? since the constant speed of the wind is going 64ms^1 north 
June 13th, 2019, 02:17 PM  #6  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,267 Thanks: 934 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
The wind is coming from the North, not directed to the North. So the pilot has to angle the plane toward the North a bit to compensate. Dan  

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