Calculus 3: Vector Calculus in 2D (11 of 39) Plane Flying with a Cross-Wind

In this video I will use vector calculus in 2D to solve a “real-life” example of a plane flying with a cross wind. A plane is flying north at 300km/hr, a wind is blowing towards south-east at 40km/hr. Find the velocity of the plane=? relative to the ground.

Next video in the series can be seen at:

[JairajShettye]

I wished my teacher could have taught me like that he always made his lec boring. I always wondered why i have to learn vectors. i am an Electronics student and now with this example i know how vectors can be useful for my Projects. You are amazing.

[qthefirsttimelord]

I've been recreating an Asteroids game clone (based on the 1979 arcade version) just for the fun of it and have been struggling with the math for three days now on how to apply thrust force in a direction that's different than the current direction being traveled and came across your video. In literally five minutes of work after watching your video you helped me solve the problem.

THANK YOU, SIR, YOU ROCK!

[hongtrangphan]

Thank you so much. Your lecture is really clear. How helpful it is.

[atcbrambo]

I have one question Prof:

If that plane was flying from A to B and then to C, and there is an angle (i.e.) of 130 degrees turn (i.e. left) btwn AB and BC, how may I calculate the time and/or the distance from B at which I should start the turn in order to complete the turn on the segment BC ? Assume omega is 3 degrees/second and a to start=a to stop the turn is 0.7 degree/sec/sec ?

[faizasikandar]

Excellent .just explained to my daughter from your lecture. Pic very clear

[roundtwo]

I dont see commercial or Private pilots calculating their vector when they are flying? Whats the use of calculating if they dont perform it?

[haileypaek]

Thank you so much. This was the most helpful video I've come across in a long time.

[AmirAsyrafbAmran]

hello sorry, may i know why the vector w y is sin 45

[dentonssubliminals]

Thank you so much. Just a question, how do we know when to use sin and when to use cos?

[HorizonSpeed]

well you should fly by correcting by an estimate (and not vector addition with paper)

[rustinonthevine]

Thank you so much. This video helped me in my calculus 3 and physics 1 classes.

[bryandrealin]

your are genous sir pls help me to solve it my project hope soon your will be my profesor thank you sir and God bless

[diwasmainali]

Theres a mistake on the angle in the end. its 28.28/271.72 inversed tan

[rampakeshbharat]

but the bearing is always measured from North 000 degrees...

[hattrickpsh]

By the time a pilot does all of that they are out of fuel :)