Question 1

Two ships, the Elsa and the Violet, have collided. Fuel immediately starts leaking from the Elsa into the sea.

The captain of the Elsa estimates that at the time of the collision his ship has 6075 litres of fuel on board and he also forecasts that it will leak into the sea at a rate of t2/5

litres per minute, where t is the number of minutes that have elapsed since the collision.

a. At this rate how long, in minutes, will it take for all the fuel from the Elsa to leak into the sea?

I dont get the answer as I need to integrate dv/dt? Why cant I just use the rate to use to find.

It's a very simple formula so the integral will be simple. You could short cut it by using the average rate, but that wouldn't help you learn the concepts.

Total time is not 45 minutes unless you missed something in the question