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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 east at 2.0 m/s. the kayaker can paddle with a speed of 3.0 m/s.


Alright class, we're going to talk about the kayaker's velocity now. The kayaker is going north at a rate of 3 meters per second, and the current is going east at a rate of 2 meters per second. When we add those velocities together, we get a resultant velocity of the square root of 13 meters per second. Now, we need to figure out how far the kayaker has to go to travel 100 meters north. To do that, we use the equation 3 over the square root of 13 equals 100 over x, and we solve for x. The value of x turns out to be 120 meters. Finally, we can calculate the total time it will take for the kayaker to reach their destination. That comes out to be 120 divided by the square root of 13, which is approximately 33.33 seconds.