Aboat is traveling at 3.2 m/s in the same direction as an ocean wave of wavelength 30 m and speed 6.8 m/s. if the boat is on the crest of a wave, how much time will elapse until the boat is next on a crest?

To solve this problem we apply the kinematic equations of linear motion. For which the speed is described as the distance traveled in a time interval. This would be,

Our values are given as,

Replacing we have,

Therefore will take until the boat is next on a crest around to 10s

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