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## #1 2013-08-22 08:34:39

AlbertMThomas
Member
Registered: 2013-08-21
Posts: 9

### Rate of change problem

The volume of an empty container is 15 m³. If water is poured into the container at a rate of 2t + 2 m³ per minute where t is the time. What is the time needed to fill the container?

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## #2 2013-08-22 08:41:40

bob bundy
Registered: 2010-06-20
Posts: 8,322

### Re: Rate of change problem

hi AlbertMThomas

If water is poured into the container at a rate of 2t + 2 m³ per minute where t is the time.

Think about what that rate represents:

It's in cubic metres per minute so that's

At the start t = 0 and V = 0.  At the end V = 15 at (say) t = T

So integrate to get V in terms of t; put V = 15 (the constant of integration will come from t = V = 0) and solve for T

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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## #3 2013-08-22 08:54:18

AlbertMThomas
Member
Registered: 2013-08-21
Posts: 9

Thanks!!

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