# A rock slide splashes into the ocean and creates a wave. This water wave has a period of 1.2 seconds, and a wavelength of 14 meters, how long will it take for this wave to travel to a shore 3.3 km away?

Jul 23, 2017

The time is $= 282.9 s$

#### Explanation:

The period is $= T s$

The frequency is $f = \frac{1}{T} = \frac{1}{1.2} = 0.83 H z$

The wavelength is $\lambda = 14 m$

The speed of the wave is

$v = \frac{\lambda}{T} = \lambda f = 14 \cdot 0.83 = 11.67 m {s}^{-} 1$

The distance is $d = 3300 m$

The time is

$t = \frac{d}{v} = \frac{3300}{11.67} = 282.9 s$