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Artemon [7]
3 years ago
14

If you were trying to cross a river with the shortest possible time, would you aim your boat slightly upstream, directly across

the river, or slightly downstream?
Physics
1 answer:
Katyanochek1 [597]3 years ago
7 0
I would say downstream since the stream can push your boat, then you would have momentum and would just have to row towards the land.
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A kayaker needs to paddle north across a 100-m-wide harbor. The tide is going out, creating a tidal current that flows to the ea
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Answer:

41.81^{\circ}

Explanation:

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In order to travel straight across the harbor, the vector addition of both the velocities (i.e the resultant velocity, \vec {R} must be in the north direction.

Let \overrightarrow{AB} is the speed of the kayaker having angle \theta measured north of east as shown in the figure.

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Now, for this condition, from the triangle OAB

|\overrightarrow{AB}|\sin \theta=|\overrightarrow{OA}|

\Rightarrow \sin\theta=\frac{|\overrightarrow{OA}|}{|\overrightarrow{AB}|}=\frac 2 3

\Rightarrow \theta=\sin^{-1}\frac23

\Rightarrow \theta=41.81^{\circ}

Hence, the kayaker must paddle in the direction of 41.81^{\circ}  in the north of east direction.

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