You are climbing in the High Sierra when 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; 8.60 s later you hear the sound of the rock hitting the ground at the foot of the cliff. Part AIgnoring air resistance, how high is the cliff if the speed of sound is 330 m/s? Suppose you had ignored the time it takes the sound to reach you. In that case, would you have overestimated or underestimated the height of the cliff? a. underestimatedb. overestimated

Question

Physics

Danica Daugherty

19 April, 08:45

You are climbing in the High Sierra when 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; 8.60 s later you hear the sound of the rock hitting the ground at the foot of the cliff. Part AIgnoring air resistance, how high is the cliff if the speed of sound is 330 m/s? Suppose you had ignored the time it takes the sound to reach you. In that case, would you have overestimated or underestimated the height of the cliff? a. underestimatedb. overestimated

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Francis Mcmahon · Answer 1

Height with sound ignored = Gravity x Time taken = 9.8 x 8.60 = 84.28 meters

Time taken by the sound = 84.28/330 = 0.255 seconds

Height with sound involved = (84.28 x 0.255) + 84.28 = 105.80 meters

a. Underestimated