Final answer:
The speed of the wave is 3 m/s.
Step-by-step explanation:
The speed of the wave can be calculated by dividing the distance between two peaks by the time it takes for the wave to go from its maximum height to its minimum height at any point along the rope. In this case, the distance between two peaks is given as 1.5 m and the time is given as 0.5 s. Therefore, the speed of the wave can be calculated as 1.5 m / 0.5 s = 3 m/s.