Q1 Eventual speed means speed as time approaches infinity, e^(-0.2t) will approach zero as t approaches infinity, therefore v=250(0-1) which is -250ms-1

Q2 At dV/dt at t=0 is the flow rate if the tap is left on fully which will be -2, then let dV/dt=0 such that you find the time it takes for the water to be "gradually turned off" which is 20s, subbing this into the V equation which did not have many brackets so I couldn't do it, you would get the amount of water lost which I will call W. Then 300=W+(2)T. Then T would be (300-W)/2.

I'm slightly concerned about the V function you worked out though.

## Bookmarks