Related Rates - Airplane Problems
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- Опубліковано 10 лют 2025
- This calculus video tutorial explains how to solve related rate problems with airplanes. The first problem asks you to determine how fast the distance between the airplane and the radar station is changing given the altitude and the horizontal speed of the plane. The situation of the second problem is two planes traveling toward each other intersecting at a common convergence point. This problem asks you to determine the rate at which the distance between the two planes is changing given the speed of each plane and the distance from the convergence point in miles.
Related Rates - Free Formula Sheet:
bit.ly/48hJymz
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Introduction to Limits:
• Calculus 1 - Introduct...
Derivatives - Fast Review:
• Calculus 1 - Derivatives
Introduction to Related Rates:
• Introduction to Relate...
Derivative Notations:
• dy/dx, d/dx, and dy/dt...
Related Rates - The Cube:
• Related Rate Problems ...
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Inflated Balloon & Melting Snowball:
• Related Rates - Inflat...
Gravel Dumped Into Conical Tank:
• Related Rates - Gravel...
Related Rates - Area of a Triangle:
• Related Rates - Area o...
Related Rates - The Ladder Problem:
• Related Rates - The La...
Related Rates - The Distance Problem:
• Related Rates - Distan...
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Related Rates - Airplane Problems:
• Related Rates - Airpla...
Related Rates - The Shadow Problem:
• Related Rates - The Sh...
Related Rates - The Baseball Diamond Problem:
• Related Rates - The Ba...
Related Rates - The Angle of Elevation Problem:
• Related Rates - Angle ...
Related Rates - More Practice Problems:
• Related Rates - Conica...
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Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
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Related Rates - Free Formula Sheet: bit.ly/48hJymz
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You're my new calculus teacher now. you help me a ton
Love your examnples - hate the commercial interruptions in the middle of an explaination! Avid learner of Maths, Physics, and Mechanical Engineering! 😎
MR. Organic Chemistry Tutor, thank you for an excellent video/lecture on Related Rates problems with Airplanes. This is another classic problem in Calculus. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.
Bro shoutout to you, I over complicated that problem so bad, #1. You saved me hours of help!!
Oh my!! The no. 2 problem is our assignment and our prof told us whoever solve that problem would be excluded from our final exam 😂
Thank you so much for this and the ladder problems, my professor told us that she was gonna ask us on either one of those problems and you covered it very well, test is tomorrow evening!! I am reviewing this night before
how'd you do
@@joeydangelo1347 The whole series is one lesson in my high school textbook Maths, 😂
@@mit4539 The whole series is half of one lesson in my college textbook Maths, :(
@@mit4539 WOW 1 FULL LESSON ON THIS ... CAN I GET YOUR TEXT BOOK PLEASE 🙏🙏🥺..... LIKE IN OUR BOOKS ITS JUST A TOPIC WHICH DOSENT EVEN COVER 1 FULL PAGE ... I WANNA STUDY THIS IN DEPTH ... BY THE WAY WHERE ARE YOU FROM ? .... LIKE WHICH COUNTRY'S TEXTBOOK ?🥺🥺
@@mit4539 we are taught this in physics not maths ....
litteraly thank you this whole time i was like what is dy/dt for the first problem haha
love your videos. thanks for all the effort.
Thank you so much! I have a test on this soon! Thanks
Did you pass the test.
شكرا يا عم :)
For the first problem how can you tell whether the plane is 5 miles away from the radar station going toward or passing it? Because I think this part of the problem determines whether dx/dt is positive or negative.
You are riding in a spaceship that has no windows, radios, or other means for you to observe or measure what is outside. You wish to determine if the ship is stopped or moving at constant velocity. What should you do?
I have one question.
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 ?
Regards.
G.
500 mi at 75° east of north, then 1500 mi at 20° west of south
CAN YOU PLZ MAKE VIDEO WITH FEW MORE SIMILIER QUESTION
What if you are given in degrees like at atwo straight roads intersect at an angle a = 60°. Cars move away from the intersection along them; one with a speed of v=60km/h, the other with a speed of v=80km/h. determine speeds
life saver
On the first question last step, Why was the 5 not multiplied by 2, then used in the division?
Since both sides had a 2, he just divided both side by 2 to get rid of the 2.
Is dx^2+dy^2 always dz^2 ?
It holds true in this example, but is it true for all examples
Yes, because dx/dt^2+dy/dt^2=dz/dt^2 is basically pythagorean theorem except the fact that it is being derived currently.
What happened to the planes in problem 2...
Lifesaver
done
Related rates Demotive