What is the velocity of the brick when it strikes the gutter?

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Homework Statement



a 0.75kg brick is released from rest and slides down an inclined roof pitched at 30 degrees to the horizontal. the brick slides 2.5m before striking the gutter and the coefficient of friction between the roof and the brick is 0.3. determine the velocity at which the brick strikes the gutter.

Homework Equations



v^2=u^2 + 2as

The Attempt at a Solution



i know the answer is 3.43m/s but the closest I've come is 1.45m/s. please help as this revision for an exam next week! :-(

thanks!
 
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i've done it! thanks anyway guys!
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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