A person in a field yells towards a canyon on a 10 C day. If it takes 2 s for them to hear their echo, how far away is the canyon in m?
what is the speed of sound at that temperature? Call it v m/s
Then, since distance = speed * time, d = v*2/2 m
To find the distance to the canyon, we can use the speed of sound. The speed of sound in air is approximately 343 meters per second at a temperature of 10 °C.
First, we need to determine the time it takes for the sound to travel to the canyon and back. Since the person hears the echo after 2 seconds, the sound wave travels to the canyon and back in 2 seconds.
Since the sound wave travels to the canyon and back, we need to divide the total time by 2 to get the one-way distance.
Distance = (Speed of Sound x Time) / 2
Plugging in the values, we get:
Distance = (343 m/s x 2 s) / 2
Simplifying the equation, we have:
Distance = 343 m
Therefore, the canyon is 343 meters away.