Final answer:
For the wave equation y(x,t)=5 cos(0.183x+6280t), the wave is traveling to the left, as indicated by the positive sign in the argument of the cosine function, which specifies movement in the negative x-direction. The correct option is A.
Step-by-step explanation:
The mathematical expression for a wave given as y(x,t)=5 cos(0.183x+6280t) indicates the direction in which the wave is traveling.
In general, a wave equation of the form A sin(kx - ωt) or A cos(kx - ωt) represents a wave moving in the positive x-direction, while a wave equation of the form A sin(kx + ωt) or A cos(kx + ωt) represents a wave moving in the negative x-direction, which is to the left.
Therefore, for the wave equation y(x,t)=5 cos(0.183x+6280t), the wave is traveling to the left because the argument of the cosine function is of the form (kx + ωt), indicating a negative x-direction motion. Option A. is the correct one.