The wavelength, frequency, period, amplitude, and speed will be 28 m,1.2 m, 3 s/cycle,0.33 hertz, and 9.33 m/s respectively.
What is wavelength?
The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The given data In the problem is;
[tex]\rm \lambda[/tex] is the Wavelength
The distance between a crest and a trough next to it = w/2
c is the Complete cycles = 5
t is the time taken for c cycles = 15 s
y is the vertical distance between two boats = 2.4 m
The wavelength of the wave is found as;
[tex]\frac{\lambda}{2} =x \\\\ \lambda = 2x \\\\ \lambda = 2 \times 14 \\\\ \lambda = 28 m[/tex]
The amplitude of the wave is found as;
[tex]\rm A = \frac{y}{2} \\\\ A=1.2 \ m[/tex]
The time for the one cycle is the ratio of total time to the number of cycles.
[tex]\rm T = \frac{t}{c} \\\\ \rm T = \frac{15}{5} \\\\\rm T = 3 \ sec/cycle[/tex]
The speed of the wave is found as the ratio of the wavelength and the time period;
[tex]\rm v =\frac{\lambda}{T} \\\\ \rm v =\frac{28}{3} \\\\ \rm v =9.33 \ m/sec[/tex]
Hence the wavelength, frequency, period, amplitude, and speed will be 28 m,1.2 m, 3 s/cycle,0.33 hertz, and 9.33 m/s respectively.
To learn more about the wavelength refer to the link;
brainly.com/question/7143261
