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college physics

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eng physics a rock is dropped at sea cliff at the sound of it striking the ocean if head 3.4 seconds later. If the speed of sound is 340m/s how high is the cliff?

  • college physics -

    3.4 seconds= time for rock to fall+time for sound to come up.

    falling: h=1/2 gt^2, or t= sqrt2h/g

    sound: h=vsound*t or t=h/speedsound

    3.4=sqrt 2h/g + h/speedsound

    looks like a quadratic equation to me.
    let u^2=h
    u^2/speedsound+u sqrt2/g - 3.4=0
    solve for u, then go back and solve for h.

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