Related Rates Ladder Problem

Related Rates Ladder Problem

In this fun related rates problem, I am calculating how fast the angle between a sliding ladder and the ground is changing. It's a must-see for anyone who wants to learn more about related rates. Enjoy!

[drpeyam]

Note: The units at the end are radians per second, not feet per second

[mitchkovacs]

This morning I googled "Hard Related Rates Problems" to work on and halfway through I realized it was written by you in 2013 lol

[techdecker]

Should it not be decreasing at a rate of 1/8 rad/s?

[hotlatte]

Klimt!! I saw the couple kissing behind your white board, intentionally ignoring the ladder. No wonder your voice sounded so tender. There are myth and math in this video at the same time. Terrific!

[pnneeth]

I love the vibe of this channel. Keep it up with the great work💪💓

[mehrdadmohajer]

Dear Dr Peyam
perhaps another solution & not the same answer !!?
Putting euler e into your diagram, we come up with these 2 Statement :
a) the ratio for (da / dt ) due to Euler is 1/ 3 at maximum.
b) cosidering (1), it means 1/ 3 is midpoint, therefor 1/ 6 could be considered as minimum.😊

[Genzpsy]

Thanks sir ! You r very geneous teacher as you teaching 🙏👍

[japotillor]

the angular speed should be in rad/s...related rates are fun though.

[kz_cbble]

X^2 + y ^2 = constant
Differentiating both sides
2x + 2ydy/dx =0
Dy/dx = -y/x

[tushargupta]

Hii Sir. You and your video lectures are awesome.
I have 1-2 doubts on integration. How can I ask you?? (The integrals are little big so I can't write it here)

[szerszen]

Pretty nice Dr. P.! I see it for 1st time from that side ! Can you show the German version of this problem?

[carlosgiovanardi]

Thank you! :)
But can you confirm units in answer?

[nddk]

theta's rating is decreasing at a rate of 1/8. :)

[epicmorphism]

I‘m really sorry, I have a math question that doesn‘t relate to this video. Could somebody help me?
My problem is to find the inverse Laplace Transform of e^(-sqrt(s)*a)/s without a look up table.
I know there a two ways:
W1)
L^-1=Sum of all res(F(s)*e^(st), z_0) for |F(s)| <= 1/|s|.
My problem is it doesn‘t work out, even though F(s) satisfies this inewuality. Why doesn‘t it work out?

W2)
Bromwich Integral for all F(s). If W1 doesn‘t work out, could somebody help me
1) to say why
2) give me a rough idea how to solve the bromwich integral.

This would be very kind, thank you!

[pcmanpacmn]

turn that it into a picture (turn the board):d

[maxsch.]

Eigentlich hab ich das andere Video besser verstanden xD