A boat is traveling at 4.0 m/s in the same direction as an ocean wave of wavelen

achieverh3

achieverh3

Answered question

2021-11-16

A boat is traveling at 4.0 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?

Answer & Explanation

Thouturs

Thouturs

Beginner2021-11-17Added 12 answers

The relation for the speed of the wave is
v=fλ
Relation between the time period and frequency of the wave is given by:
f=1T
Combining the previous two relations gives:
v=(1T)λ
T=λv
Resultant speed of the wave is:
v=vwvb
where vw is the speed of the wave and vb is the speed of the boat.
Time taken to reach the boat from one crest to another crest is calculated as:
T=λvwvb
Substitution of the known values gives the result:
T=10.71 s

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