Find the velocity of a water wave in meters per second with frequency 0.87 Hertz and wavelength 6.1 meters.

Velocity of a water wave is 5.307 meters per second.

Explanation:

The velocity of a water wave is found by the product of frequency and wavelength.

Frequency is defined as the rate at which a particular number pf wave oscillations travel per second. It is represented by 'f'.

Wavelength is defined by the distance between two points in between two crests or troughs. It is represented by 'λ'.

Velocity(v) = frequency(f) × wavelength(λ)

From the given data

frequency(f) = 0.87 Hertz per second

wavelength(λ) = 6.1 meters

Substituting the given values

velocity(v) = 0.87 × 6.1

velocity(v) = 5.307 Hertz per second.

3.2x10^7

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west