(a) Period of the wave
The period of a wave is the time needed for a complete cycle of the wave to pass through a certain point.
So, if an entire cycle of the wave passes through the given location in 5.0 seconds, this means that the period is equal to 5.0 s: T=5.0 s.
(b) Frequency of the wave
The frequency of a wave is defined as
[tex]f= \frac{1}{T} [/tex]
since in our problem the period is [tex]T=5.0 s[/tex], the frequency is
[tex]f= \frac{1}{5.0 s}=0.2 Hz [/tex]
(c) Speed of the wave
The speed of a wave is given by the following relationship between frequency f and wavelength [tex]\lambda[/tex]:
[tex]v=f \lambda = (0.2 Hz)(2.5 m)=0.5 m/s[/tex]
