A sonar echo takes 2.2s to return from a whale. How far away is the whale ??
d = Vs * T/2 = 1531 * 2.2/2 = 1684 m.
its 1686.3 m
To calculate the distance to the whale, we need to consider the speed of sound in water. The speed of sound in water is approximately 1,500 meters per second.
Step 1: Start by dividing the total time it takes for the sonar echo to return by 2. This is because the echo has to travel to the whale and then back to the sonar device.
2.2s / 2 = 1.1s
Step 2: Multiply the time by the speed of sound in water to find the total distance.
1.1s * 1500m/s = 1650m
Therefore, the whale is approximately 1650 meters away.
To find the distance between the whale and the source of the sonar, you can use the formula:
Distance = Speed × Time
In this case, the time taken for the sonar echo to return from the whale is given as 2.2 seconds. However, we still need to find the speed of sound in water to calculate the distance accurately.
The speed of sound in water is approximately 1,500 meters per second (m/s). This value can vary slightly depending on factors like water temperature and salinity.
Now we can substitute the values into the formula:
Distance = Speed × Time
Distance = 1,500 m/s × 2.2 s
Distance ≈ 3,300 meters
Therefore, the whale is approximately 3,300 meters away.