A water wave of wavelength 859 cm travels a distance of 64 m in a time of 14 s. What is the period of the wave, in units of seconds?

Respuesta :

Answer:

1.87 s

Explanation:

d = distance traveled by the water wave = 64 m

t = time taken to travel the distance = 14 s

[tex]v[/tex] = speed of water wave

Speed of water wave is given as

[tex]v=\frac{d}{t}[/tex]

[tex]v=\frac{64}{14}[/tex]

[tex]v[/tex] = 4.6 m/s

[tex]\lambda[/tex] = wavelength of the wave = 859 cm = 8.59 m

T = period of the wave

period of the wave is given as

[tex]T = \frac{\lambda }{v}[/tex]

[tex]T = \frac{8.59 }{4.6}[/tex]

T = 1.87 s