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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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  1. BAdhi
    • one year ago
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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
    • one year ago
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    How do I find out where he will land?

  3. anonymous
    • one year ago
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    And the time as well? I'm still a bit confused

  4. BAdhi
    • one year ago
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    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

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