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A helicopter is trying to land to land on a submarine deck which is moving south at 17m/s. A 12 m/s wind is blowing into the west. IF to the submarine crew the helicopter is descending vertically at 5m/s, then

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Speed of helicopter relative to the air is $(- 12 \hat{i} + 17 \hat{j} - 5 \hat{k}) m / s$

Speed of helicopter relative to the water is $(- 12 \hat{i} + 17 \hat{j} - 5 \hat{k}) m / s$

Speed of helicopter relative to the water is $(17 \hat{j} - 5 \hat{k}) m / s$

Speed of helicopter relative to the air is $(17 \hat{j} - 5 \hat{k}) m / s$

answer is A.

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Detailed Solution

$V_{s} = 17 j, V_{b} = - 12 \hat{i} V_{H S} = - 5 \hat{k} V_{H S} = 17 j - 5 \hat{k} V_{H b} = - 12 \hat{i} + 17 \hat{j} - 5 \hat{k}$

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