Physics 7 Relative Velocity (11 of 11) Airplane Direction with Non-Perpendicular Wind Direction

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An airplane flies horizontally at 80m/s in still air. If the aviator wishes to fly due South and the wind is blowing from the South-East at 30m/s.
A) What is the direction the plane must fly?
B) How long will the trip take if the destination is 200km South of the starting point?

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You are indeed a great teacher. I have search on how to solve relative velocity problems and still did not get the concept on the internet but you have made it easy for me to understand. Kudoos. Thank you very very very much.

yawt
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Thank you so much for your brilliant work.
I am a structural engineer in South Africa. I still reference you work to make sure I stay sharp. Your work is really special.
Thank you again

GenaEnSamIAm
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thank you sir for everything all the way from south africa

thabangmalete
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Sir can you please make a video on metallicity calculation for star.. 🌟

dhrubarupsarkar
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Thank you for helping my homework🥹🙏🏻 i hope u will a great day

Eveninanotherlife
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Find the velocity relative to an inertial frame (in which the centre of
the Earth is at rest) of a point on the Earth’s equator. An aircraft
is flying above the equator at 1000 km h−1. Assuming that it flies
straight and level (i.e., at a constant altitude above the surface) what
is its velocity relative to the inertial frame (a) if it flies north, (b) if it
flies west, and (c) if it flies east? please help with this

thabangmalete
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does square root of the tenor field of type (1, 1) exist?
Please reply

mohammadnazrulislamkhan
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can I find V(resultant) by taking the square root of ((V plane)^2-(V in the x direction of the wind)^2, whole thing minus V in y direction of the wind? I am getting 61.55; what I solved incorrectly??

zuko-so
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I appreciate your mathematics are correct and you’re obviously very good at what you do, but at the risk of being a bit a stick in the mud, in reality the pilot is probably just going to rise a bit in altitude, and keep the North on the compass pointed towards the tail, as then you have to be flying south ?
At least that’s what I would do, I’m not a Pilot and I do realise that there is trade winds up high all the time due to convection and stuff, but maths don’t seem like a fix when calculations are fixed, but the rate of the wind is not, and can change within minutes….
There’s always one lol…. 😀

BriansLogic
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how is the resultant speed y equal to vp MINUS vwy as im seeing its plus?

nobodynose