Finding the time using the acceleration (forces)

AI Thread Summary
The problem involves calculating the acceleration of a raft with a total mass of 195 kg, influenced by an ocean current of 60 N eastward and wind producing 95 N at 80 degrees. The calculated acceleration is 0.62 m/s² at a direction of 50.9 degrees. To find the time it takes for Joey to travel 4 km, the equation Distance = (0.5)(a)(t²) is suggested, leading to the equation 4000 m = (0.5)(0.62 m/s²)(t²). The discussion also notes that the question may be better suited for an introductory physics section rather than advanced physics. Overall, the approach to solving for time appears reasonable.
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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!
 
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