On a particular day the ocean swell has a period of 10 s, a wave velocity of 5.0 m/s, and a wave amplitude of 0.520 m. An anchored boat is bobbing up and down as the wave passes by. What is the peak vertical velocity of the boat

the peak vertical velocity of the boat is 0.3267 m/s

Explanation:

Given that;

Time period T = 10 sec

wave velocity = 5.0 m/s

wave amplitude A = 0.520 m

peak vertical velocity of in the wave can be expressed as;

Vp = Aw

where w is angular frequency,  ( w = 2π/T)

so

Vp = A × 2π/T

so we substitute

Vp = 0.520 × 2π/10

Vp = 3.2673 / 10

Vp = 0.3267 m/s

Therefore, the peak vertical velocity of the boat is 0.3267 m/s

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