# Calculus Problems Related Rates

**Complicated calculus problem – related rates?**

Hey calc freaks, I’m having some trouble with this question…

The top of a 5 m wheeled ladder rests against a vertical wall. If the bottom of the ladder rolls away at 1/3 m/s, how fast is the top of the ladder sliding down the wall when it is 3m above the base of the wall?

Thanks!

a=4

da/dt=1/3

b=3

db/dt=?

c=5

dc/dt=0, c is constant

using pythagorean theorem

a=4

a²+b²=c², take the derivative with respect to time

2a(da/dt) + 2b(db/dt) = 2c(dc/dt)

2(4)(1/3)+2(3)(db/dt)=2(5)(0)

8/3 + 6(db/dt)=0

db/dt= 4/9 m/s

**How to solve related rate calculus word problems**

Hmm it appears like your site ate my first comment (it was super long)

so I guess I’ll just sum it up what I submitted and say, I’m thoroughly enjoying your blog.

I too am an aspiring blog writer but I’m still new to the whole thing. Do you have any tips and hints for novice blog writers? I’d certainly appreciate it.

I have to tell you that it’s hard to find your posts in google, i

found this one on 19 spot, you should build some quality

backlinks in order to rank your page, i know how to help you, just type in google

– k2 seo tips and tricks

Nice blog! Is your theme custom made or did you download it from

somewhere? A theme like yours with a few simple adjustements would really

make my blog stand out. Please let me know where you got your theme.

Appreciate it

Here is my site :: search