A tourist boat operator wishes to take her boat directly west across a river. But there is a strong river current of 1.4 ms-1 towards the north. (i) In which direction must she head her boat, relative to west, at a speed of 3.0 ms-1 in order to cross directly? (ii) What will be the velocity of the boat relative to the shore of the river?

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A tourist boat operator wishes to take her boat directly west across a river. But there is a strong river current of 1.4 ms-1 towards the north.

(i) In which direction must she head her boat, relative to west, at a speed of 3.0 ms-1 in order to cross directly?

(ii) What will be the velocity of the boat relative to the shore of the river?

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