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## Homework Statement

When engine was turned off,boat with mass m was moving with speed v_0.

The force of friction F=-[itex]\alpha[/itex][itex]\nu[/itex]-[itex]\beta[/itex]v^2.

How long it would take to drop speed of boat 3 times?

Find the distance which the boat will travel in this time?

## Homework Equations

## The Attempt at a Solution

I think i should try to solve differental equation in form of

m[itex]\dot{v_0}[/itex]=-[itex]\alpha[/itex][itex]\nu[/itex]-[itex]\beta[/itex]v^2

But I realy dont know what to do next,could someone,please help me with some steps or tips?