Related Rates Lecture (Part 7) Find the rate at which an airplane is gaining altitude

Related Rates Example: An airplane is flying in still air at a rate of 266 mph. If it is climbing at an angle of 22 degrees, find the rate at which it is gaining altitude.

[jonathanamador]

Jonathan Amador
MAC2311
My takeaway from this video is that the value of the angle is that the angle is not used for the actual value of ds/dt or dy/dt.

[jenniferclark]

jennifer clark
mac2311

it was helpful seeing you draw out and go through the problem and how you were able to find the relationship between ds dt and dy dt by using the relationship between s and y

[johanasepulveda]

Johana sepulveda
Mac2311
I gained good insight in the dy/dt

[stephaniagrauer]

Stephania Grauer
MAC2311
One important thing I learned from the video was how to create a visual aid for a word question to help understand the problem.

[emiliatapia]

Emilia Tapia
MAC2311
A part of the video I found helpful was when you wrote the problem out as a triangle so that we can visually see what relationships to use.

[mstriker]

Mitchell Thanath
MAC 2311 M-R
"dy/dt equals ds/dt times sin of 22 degreees"

[victoriasueropagan]

Victoria Suero
MAC2311 M-R
"if I differentiate both sides with respect to t, what am I going to get? dy/dt=ds/dt*sin22°,  well this is a coefficient..." (3:01)

[queenkay]

Calecia
MAC2311 TR11am
A part of this video I found helpful was stechking a diagram of your word problem and finding the relationship between the sides of the triangle.

[bambamfpv]

Bryan Makepeace
MAC 2311
My take away from this video was to think of what values in the word problem are a derivative value as I read the problem to start organizing my method for solving the problem and then determine the useful trig relationship.

[charleskoogle]

Thank you Ms. Hearn :-) you've helped me with my college calculus class

[michaelbryan]

Michael Bryan
MAC2311
My take-away from this video is that its necessary to distinguish the correct units of measurement for early, as to keep the problem uniform.

[noonewatchesmyvideos]

hold up, shouldn't it be y = s * cos 22???? for the first one. I am left utterly dead

[russkayaimperiya]

But how would I do this without a calculator?

[mickkaylaerbach]

Thank you! I appreciate your quick/to the point lessons.

[alexandermarcelo]

alexander espinosa
MAC2311
by making shapes out of the word problem one can see what equations can be used to make ds/dt relate to dy/dt

[giselapacheco]

Gisela Pacheco MAC2311
My take-away from this video is the way to breakdown the problem and analyze it

[mohammadabid]

Mohammad Abid
MAC2311 M-R
"So what's the relationship based on this angle, what's the relationship between s and y. Sine is opposite over hypotenuse right so we can say the sine of 22 degrees is y over s. I was thinking about writing this as y= s times sin22 degrees. "

[ravipooran]

Ravi Pooran
MAC2311
My take away from this video is how important drawing out the question can be in understanding. By using a triangle and using x and y coordinates, it made it easier for myself to determine what the value of ds/dt was.

[usmcdd]

Rocky Rosado
MAC2311
"okay so DY/DT should be equal to fingers crossed 266 times the sine of 22 degrees" (Hearns 3:30-3:36)

[vsim]

Vivica Simmons
MAC 2311 M-R
"dy/dt should be equal to (fingers crossed) 266sin(22)"