Calculus Related Rates - A Boat is Being Pulled Into a Dock Through a Pulley

This video shows how to calculate how fast a boat is approaching a dock while being pulled by a rope through a pulley.

[@graceful522]

wow, I've watched so many different videos on related rates and I've been so confused this whole time. But just the, "the rope is being pulled this fast so, that's the rate of change in the rope length, so that's dy/dt" and the same with the x part, just helped me so much. You have no idea, thank you sir

[@crowsmathclass]

You’re welcome. Glad it helped.

[@ryantavera8729]

thanks man for whatever reason the accent makes this much more enjoyable to understand

[@crowsmathclass]

Thank you. Glad it helped.

[@chloju]

you are much better than my teacher! Thanks:)

[@crowsmathclass]

Thank you.

[@vision9069]

Man is a hero.

[@crowsmathclass]

Glad it helped.

[@lucarijoe8301]

Love the accent.

[@dimpledsunflower]

Dude you saved me I had no idea how to this type of question on my homework, thanks

[@crowsmathclass]

You’re welcome. Glad it helped.

[@ethangibson1933]

you're awesome, this was simple and well explained. Thank you!

[@crowsmathclass]

Thank you.

[@elijahr_1998]

dy/dt is incorrect, should be positive 1. Since y is just a distance, it's strictly positive and so is its derivative.

[@scaffoldedmath]

This was so helpful. Thank you so much.

[@crowsmathclass]

You’re welcome. Glad it helped.

[@forishuang3976]

thanks bud, appreciate the help partner!

[@crowsmathclass]

You’re welcome. Glad it helped.

[@elifmutafoglu]

thank you

[@crowsmathclass]

You’re welcome.

[@ptyptypty3]

so when the boat get's to the dock and X = 0 .. is the boat going a speed of INFINITY Meters Per Second?

[@SHARKFINN50]

anything over 0 is undefined so I think that's just a fancy way of saying it's not moving anymore
idk though this is all new to me

[@surbhisharma3317]

Thank you

[@crowsmathclass]

You’re welcome.

[@blehssed1237]

i think dy/dt should be 1m/s not -1m/s

[@michaelb3213]

No its negative. Kind of just have to think about it a little. The rope is being pulled in. The length of the rope is decreasing over time so the rate is negative. However questions usually phrase it as "how fast is it approaching" or something similar so you can write your answer as positive.

[@blehssed1237]

@@michaelb3213 oh thats weird i had a similar question for my homework and i used negative and marked me wrong

[@elijahr_1998]

@@blehssed1237 They're wrong, it shouldn't be negative.

[@kambean777]

I think he is going to say dnuts