This problem has to do with mass and time

[afcwestwarrior]

Homework Statement

Water is poured into a container that has a leak. The mass m of the water is given as a function of time t by m=5.00(t)^.8- 3.00t+ 20.00. with t being greater or equal to zero, m in grams, and t in seconds. (a) at what time is the water mass greatest (b) what is the greatest mass? in kilograms per minute, what is the rate of change at (c) t=2.00 s and (d) t=5.00s


how do i do this probelm

Homework Equations

what equations can i use

The Attempt at a Solution

if i knew what to do or sort of do i could attempt it

 

[afcwestwarrior]

is question a asking me to plug in a time that will allow the equation to equal to zero

 

[Defennder]

This is a problem in optimisation using calculus. Think of how to find the max and min of a function. That's all you need to do this problem, no physics involved.

 

[afcwestwarrior]

I figured it out. It was 4 seconds for question (a) and that opened up the rest of the problems.