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Cliff Height. You are climbing in the High Sierra where you suddenly find yourself at the edge of a fog-shrouded cliff. To find the height of this cliff, you drop a rock from the top and 10.0 s later hear the sound of it hitting the ground at the foot of the cliff.

Ignoring air resistance, how high is the cliff if the speed of sound is 330 m/s

ok i did the problem and i just wanted at least to people to check my work.

h = .5gt^{2}

time for sound to reach the person

t_{s}= h/v_{sound}

since the total time is ten seconds then i can solve both equations for time

time for rock to hit ground

t = sqrt(2h/g)

time for sound to travel up to the person

t = h/v_{sound}

then t_{total}= sqrt(2h/g) + h/v_{sound}

then i can solve for h.

I got -1086.9m and -14130.43m

can at least two people confirm that. The reason i am asking is because I am doing my homework online and i have one more try to get it right, so i want to make sure I got it right.

Thanks

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# Finding distance using sound

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