The wave number (k) and the angular frequency of a wave are 6.2rad/m and 12rad/s respectively. Which of the followings could be the equation of the wave? a. 8sin(12x-6.2t)
b. 8sin(6.2x-12t)
c. 12 sin (6.2x-8t)
d. all of the above

B.

Explanation:

The general equation of a wave is expressed as

A is the amplitude of the wave

k is the wave number and it is expressed as

is the angular frequency expressed as

is the wavelength and f is the angular frequency

Given k = 6.2rad/m and

On substituting this value into the general wave equation;

From the expression gotten, the only equation that could be the equation of the wave is

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min