Your sitting on a dock and 2 waves pass you every second. You notice that they are about 3 meters a part. What is the wave speed?

3m/s

Explanation:

Frequency of a wave is defined as the number of oscillations completed by the wave in one second. It is measured in cycles/sec or Hertz.

If two waves passes every second, therefore the frequency of the wave is 2Hertz.

Wavelength is described as the total distance covered in one oscillation. It is measured in meters

Wavelength = Total distance covered by a wave/number of oscillations

Wavelength = 3/2

Wavelength = 1.5m

Wavespeed = frequency × wavelength

Wavespeed = 2×1.5

Wavespeed = 3m/s

Your sitting on a dock and 2 waves pass you every second. You notice that they are about 3 meters a part. What is the wave speed

Explanation:

Given that,

Two wave pass then the person per second

From frequency: frequency is the number of wave that pass per second, and it is measure in Hz

This implies that, if the 2 waves pass the person per second

Then, the frequency is 2 Hz

f = 2 Hz

Given that, the wave are 3m apart

Then, the total length is 3m

I.e 2 wavelength = 3m

2λ = 3

λ = 3/2

λ = 1.5 m

Then, this implies that the wavelength is 1.5m

Then, using wave equation we can find the speed of the wave

V = fλ

V = 2 × 1.5

V = 3 m/s

The speed of the wave is 3 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s