1.) Bats use echolocation to determine their distance from objects they cannot e
ID: 1385535 • Letter: 1
Question
1.) Bats use echolocation to determine their distance from objects they cannot easily see in the dark. The time between the emission of a high-frequency sound pulse (a click) and the detection of its echo is used to determine such distances. A bat, flying at a constant speed of 19.7 m/s in a straight line toward a vertical cave wall, makes a single clicking noise and hears the echo 0.17 s later. Assuming that she continued flying at her original speed, how close was she to the wall when she received the echo? (assume the speed of sound is 343 m/s)
2.) A submarine can use sonar (sound traveling through water) to determine its distance from other objects. The time between the emission of a sound pulse (a "ping") and the detection of its echo can be used to determine such distances. Alternatively, by measuring the time between successive echo receptions of a regularly timed set of pings, the submarine's speed may be determined by comparing the time between pings. Assume you are the sonar operator in a submarine traveling at a constant velocity underwater. Your boat is in the eastern Mediterranean Sea, where the speed of sound is known to be 1522 m/s. If you sent out pings every 5.6 s, and your apparatus receives echoes reflected from an undersea cliff every 5.58 s, how fast is your submarine approaching the cliff?
Explanation / Answer
1.1.During the 0.17 seconds, the bat travels a distance d = 19.7
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