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- Homework Statement
- A boat of mass m with initial velocity v_o is slowed by a frictional force

F=-bexp(αv), α and b are positive constants .

- Relevant Equations
- F=-bexp(αv)

The photo above is the problem I'm struggling now and the photo below is what I have done so far.

By differentiating and integrating the given equation, which is F=-b exp(αv), I tried to express v(t) or a(t) as a function related to t, which is time.

But the more I did, the more complicated it got...

Force is related to the velocity so when you differentiate it, the acceleration function about t comes out so you cannot just express its motion.

How was I supposed to approach this problem to?

Look forward to hearing from you guys.

Thanks a lot!

If this posts makes any inconvenience or you offended, I will delete it right away.

No matter how long comments are, any comments would be appreciated!