Kayaking is hard

A kayaker paddles due north at 2 m/s. The river the kayaker is paddling in flows towards the east at 1 m/s. After 5 seconds of paddling, how far is the kayaker from where she started in meters ?


The answer is 11.18.

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1 solution

David Mattingly Staff
May 13, 2014

Since the velocities are perpendicular, the total speed of the kayaker is given by the Pythogorean theorem: s = 2 2 + 1 2 = 5 s=\sqrt{2^2+1^2}=\sqrt{5} . The total distance traveled is this speed times the time, or 5 5 = 11.18 m 5\sqrt{5}=11.18~m .

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