anonymous
  • anonymous
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
Physics
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anonymous
  • anonymous
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
Physics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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BAdhi
  • BAdhi
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 \(V(b,s)\)
anonymous
  • anonymous
How do I find out where he will land?
anonymous
  • anonymous
And the time as well? I'm still a bit confused

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BAdhi
  • BAdhi
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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