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9 April, 20:46

Suppose you hear a clap of thunder 16.2 seconds after seeing the associated lightning stroke. The speed of sound waves in air is 343-m/s and the speed of light in air is 3.00 x 10^8-m/s. How far are you from the lightning stroke in both meters and miles? Assume that the light reaches you instantaneously.

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  1. 9 April, 23:10
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    D = 3.45 mile

    Explanation:

    given,

    time taken by the sound wave, t = 16.2 s

    speed of sound, v = 343 m/s

    speed of the light = 3 x 10⁸ m/s

    distance where lightning stroke

    we know,

    distance = speed x time

    D = 343 x 16.2

    D = 5556.6 m

    1 m = 0.000621371 mile

    5556.6 m = 5556.6 x 0.0006214

    D = 3.45 mile

    the distance lightning strike is 3.45 mile away from the observer.
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