Final answer:
The superposition of the waves y1 + y2 at different points is found by adding the wave functions together at each point.
Step-by-step explanation:
To find the superposition of the waves y1 + y2, we simply add the two wave functions together at each given point.
(a) At x = 1.00 cm and t = 1.00 s:
y1 + y2 = 2.5 cos(3.5(1.00) - 1.5(1.00)) + 3.5 sin(4.5(1.00) - 1.5(1.00))
= 1.78 cm
(b) At x = 1.00 cm and t = 0.500 s:
y1 + y2 = 2.5 cos(3.5(1.00) - 1.5(0.500)) + 3.5 sin(4.5(1.00) - 1.5(0.500))
= 1.08 cm
(c) At x = 0.500 cm and t = 0:
y1 + y2 = 2.5 cos(3.5(0.500) - 1.5(0)) + 3.5 sin(4.5(0.500) - 1.5(0))
= 2.5 cm