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10 July, 04:38

Hans stands that the rim of the Grand Canyon and yodels down to the bottom. He hears his echo back from the Canyon floor 5.20 seconds later. Assume that the speed of sound in air is 340.0 m/s. How deep is the canyon at this location?

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  1. 10 July, 08:27
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    The canyon is 884 meter deep at this location

    Explanation:

    Step 1: Data given

    He hears his echo back from the Canyon floor 5.20 seconds later. (t = 5.20s)

    Speed of sound in air is 340.0 m/s

    Step 2: Calculate time echo reaches the bottom

    Time the echo reaches bottom + time echo reaches top = 5.20 seconds

    So the time the echo needs to reach the bottom = (5.20/2) seconds

    Step 3: Calculate the distance

    Distance = velocity * time

    X = 340.0 m/s * (5.20/2) seconds

    X = 884 meters

    The canyon is 884 meter deep at this location
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