Find the velocity of the swimmer relative to the shore

[larryboi7]

Homework Statement

A swimmer is moving 30 degrees south of east at a constant speed of 5mph relative to the water. A current is flowing 30 degrees west of north at a constant speed of 1.5mph.

Find the velocity of the swimmer relative to the shore. After 2 hours, what is the swimmers displacement? How FAR is the swimmer from his target position if he swam unaware of the current?

Homework Equations

Vsl = Vsw + Vwl
Vox = Vo(cos30)
Voy = Vo(sin30)

The Attempt at a Solution

Vox = 5cos30 = 4.33
Voy = 5sin30 = 2.5

 

[CompuChip]

Surely you must have some idea?

 

[larryboi7]

Surely you must have some idea?

I wouldn't have asked if I knew...

 

[CompuChip]

Hehe, obviously I didn't expect you to say "yes, I know the answer already, I just want to check if you know it".
But when asking questions about homework, we would like you to show some work which you have already tried, even if you think it is leading you nowhere.

Does an equation like
v_SW + v_WL = v_SL
sound familiar,
where v_SW is the velocity vector of the swimmer relative to the water, v_WL of the water relative to the land, and v_SL of the swimmer relative to the land

 

[larryboi7]

Hehe, obviously I didn't expect you to say "yes, I know the answer already, I just want to check if you know it".
But when asking questions about homework, we would like you to show some work which you have already tried, even if you think it is leading you nowhere.

Does an equation like
v_SW + v_WL = v_SL
sound familiar,
where v_SW is the velocity vector of the swimmer relative to the water, v_WL of the water relative to the land, and v_SL of the swimmer relative to the land

Yes, it does look familiar. I just have hard time setting it up. The problem I have now it finding the velocities. I believe the equations I presented are correct?