## anonymous one year ago A man points his boat due east and rows at 4 km h^-1 relative to the water. The river flows south at 2 km h^-1, and it is 1 km wide. a) How fast is the man moving relative to the shore? b) Where will he land? c) How long will his trip take? Please help, I have no idea how to do this, thanks

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relative to the water his movement is 4 to the east... but the water is flowing to the south.. according to the relative velocity identity, $$V(b,s) = V(b,w)+V(w,s)$$ b is boat, s is shore and w is water. V(b,s) is velocity of the boat relative to the shore. other expressions have the similar meaning |dw:1442463193079:dw| you can find the resultant velocity with the vector addition and it will be equal to $$V(b,s)$$

2. anonymous

How do I find out where he will land?

3. anonymous

And the time as well? I'm still a bit confused

now that you know his velocity with reference to the ground, its jst a matter of using motion equations... |dw:1442463807902:dw| from $$V(b,s)$$ you know the value of $$\theta$$ so find the value of x,and the distance he will land , since you know x and v(b,s) you can find the time taken to travel