A girl standing 200 meters from the foot of a high wall claps her hands and the echo reaches her 1.16seconds later, calculate the velocity of sound in air
speed = distance/time
remember it's a round trip before she hears the echo.
V * T = 400
V * 1.16 = 400
V =
To calculate the velocity of sound in air, we need to use the formula:
v = d/t
where:
v = velocity of sound
d = distance traveled by the sound
t = time taken for the sound to travel
In the given scenario, the girl claps her hands and the echo reaches her 1.16 seconds later. The distance between the girl and the wall is given as 200 meters.
First, we need to find the total distance traveled by the sound, which is the twice the distance between the girl and the wall (since the sound travels to the wall and then back to the girl). Therefore:
d = 2 * 200 meters
= 400 meters
Next, we substitute the values into the formula:
v = d / t
= 400 meters / 1.16 seconds
Evaluating this expression gives us the velocity of sound in air.