Question

Waves on a swimming pool propagate at 0.75 m/s. You splash the water at one end of the pool and observe the wave go to the opposite end, reflect, and return in 30.00 s. How far away is the other end of the pool?

Answer 1

The other end of the pool is 22.5 meters away.

Step-by-step explanation:

To find the distance to the other end of the pool, we can use the formula: distance = wave speed x time.

In this case, the wave speed is 0.75 m/s and the time taken for the wave to go to the opposite end, reflect, and return is 30.0 s.

Substituting these values into the formula, we get:

distance = 0.75 m/s x 30.0 s = 22.5 meters

Therefore, the other end of the pool is 22.5 meters away.

Answer 2

The other end of the pool is 11.25 m far away

Step-by-step explanation:

Wave: A wave can be defined as a disturbance that travels through a medium and transfer energy from one point to another without causing any permanent displacement of the medium itself.

Velocity of wave (v) = 2x/t............................. Equation 1

making x the subject of the equation,

x = vt/2

Where x = distance, t = time.

Given:v = 0.75 m/s, t = 30 s.

Substituting these values into Equation 1,

x = (0.75×30)/2

x = 11.25 m.

Therefore, The other end of the pool is 11.25 m far away