Finding the time using the acceleration (forces)

ilovemynny
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Homework Statement



Joey is now on a raft in the ocean, try to sail home. The raft + Joey have a total mass of 195kg. The ocean current produceds a force of 60N eastwaard and the wind produces a force of 95N at 80 degrees. Find the acceleration of the raft (magnitude and direction). If these forces are constant, how long will it take Little Joey to travel 4km?

Homework Equations



So I figured out the magnitude of acceleration which is 0.62m/s/s and the direction of acceleration is 50.9 degrees.


The Attempt at a Solution



To find Time
would I use this equation: Distance = (0.5)(a)(t^2)
?
if so, would it be

4000m = (0.5)(0.62m/s/s)(t^2)

and just solve t from there?
 
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That seems reasonable, doesn't it?

This probably doesn't belong in the advanced physics section, by the way.
 
awesome :D thank you!

sorry >.< the reason why i put it in advanced is because I'm taking ap physics right now >.< i didn't know where to put it
 
That's OK. The advanced physics section is for "upper-division (college junior or senior) and graduate-level questions.", so for next time the introductory physics section would be better - you'll get a quicker reply that way, more people read it!
 
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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