Final answer:
The distance to the other end of the pool is calculated based on the time it takes for a wave to travel there and back. The waves propagate at 0.750 m/s, and the return trip takes 30.0 seconds, leading to a calculated distance of 11.25 m, which is closest to the provided option of 11.2 m.
Step-by-step explanation:
To calculate the distance to the other end of the pool, we need to consider the time it takes for the wave to travel to the far end and back. Given that the waves on a swimming pool propagate at 0.750 m/s and it takes a total of 30.0 seconds for the wave to reach the opposite end, reflect, and return, we can use the formula:
Distance = Speed × Time
However, since the wave travels to the other end and back, the total distance covered is twice the length of the pool. Therefore, we'll have to halve the product of speed and time to find the length to the other end:
The distance between the two ends of the pool can be determined using the formula: distance = speed x time. In this case, the speed of the waves is 0.750 m/s and the time taken for the wave to go from one end to the other and back is 30.0 s. Therefore, the distance is 0.750 m/s x 30.0 s = 22.5 m.
The correct answer is (b) 22.5 m.
Length to the other end = 0.750 m/s × (30.0 s / 2) = 11.25 m
Therefore, the correct answer is 11.25 m, which is closest to option a) 11.2 m.