1)If I head across a river paddling my canoe at 6km/h N, but the river current is moving at 3km/h E, determine the speed and direction of my canoe relative to the shore.
Given:
cr: canoe with respect to river
re: river with respect to earth
ce: canoe with respect to earth
First, for speed remember that in order to get , I need to have a velocity who subscript starts with c and ends with e. Thus:
Use Pythagorus theorem to find v_{ce} now:
Second, for direction, use tangent ratio:
Be careful though! When you get the angle, make sure you state the direction correctly. If you found the angle using this ratio:
Then direction is: The direction of of The direction of .
This question is related to the Pythagoras theorem. You can solve this problem by using Pythagoras theorem. It will be easy to solve when you apply it in the question.
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jerry
Wide Circles