C. The canoe's path will be a diagonal line from northeast to southwest.
Explanation:
We can solve this problem by using vector addition rules.
In fact, we know that:
- The velocity of the canoe has a component in the south direction, due to the velocity of the river which points towards south
- The canoe itself is trying to go from the eastern shore towards the western shore --> this means that the canoe has also a component of the velocity in the west direction
This means that the resultant velocity of the canoe must be in a direction intermediate between the directions of its two components: therefore, in the southwest direction.
Therefore, this means that
C. The canoe's path will be a diagonal line from northeast to southwest.
Learn more about vector addition:
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