Question

How to find the time it takes for the water to flow at a certain velocity?

Can someone please explain to me how to do question 2e? Thanks!

Answer 1

I tried this:

Explanation:

The rate of flowing or velocity is the derivative of your function `W`:
`W(t)=27000000-1000(30-t)^3`
We want the time when we have `8000l/(min)`, so we have:
`8000=3000(30-t)^2`
Rearranging:
`2.7=(30-t)^2`
`30-t=sqrt(2.7 )`
change signs:
`t=30-1.64=28.35`min