Four traveling waves are described by the following equations, where all quantities are measured in Sl units and y represents the displacement. I: y = 0.12 cos(3x + 2t) II: y = 0.15 sin(6x - 3t) III: y = 0.23 cos(3x + 6t) IV: y = -0.29 sin(1.5x - t) Which of these waves have the same speed? O l and IV O I and III O Il and III O l and I| O III and IV

Two sinusoidal waves of the same frequency travel in the same direction along a string. If Ym1 = 4.1 cm, Ym2 = 3.9 cm, P₁ = 0, and ₂ = π/3 rad, what is the 42 amplitude of the resultant wave? Number i Units <

The graph below represents the displacement caused by a mechanical wave traveling along a rope (y axis), versus the distance that the wave has traveled along the rope (x axis). displacement / cm 0.5 8distance / m -0.5 If the wave has a frequency of 300 Hz, determine the speed of the wave. O 1200 cm/s O 300 cm/s O 150 cm/s O 2400 cm/s O 600 cm/s O 1800 cm/s

Two waves are traveling on the same string. The displacement of the first is given by y₁ = (0.200 m) sin [(400л s¯¹)t — (2л m¯¹)×] and of the second by y2 = (0.300 m) sin (400л s¯¹)t − (2ë m¯¹)x + x and y in meters and t in seconds. What is the phase constant of the resultant wave? i - rad wi , with