Low-frequency vertical oscillations are one possible cause of motion sickness, with \(0.30 \mathrm{~Hz}\) having the strongest effect. Your boat is bobbing in place at just the right frequency to cause you the maximum discomfort. The water wave that is bobbing the boat has crests that are \(30 \mathrm{~m}\) apart.

a. What is the speed of the waves?

b. What will be the boat's vertical oscillation frequency if you drive the boat at \(5.0 \mathrm{~m} / \mathrm{s}\) in the direction of the oncoming waves?