Vertical Motion and Free Fall Video Lessons

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Problem: 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.a) If you ignore air resistance, how high is the cliff if the speed of sound is  330 m/s?b) 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?

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Problem Details

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.
a) If you ignore air resistance, how high is the cliff if the speed of sound is  330 m/s?
b) 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?

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Based on our data, we think this problem is relevant for Professor Mauger's class at UPENN.