On hiking up a mountain that has several over-hanging cliffs, a climber drops a stone at the first cliff to determine its height by measuring the time it takes to hear the stone hit the ground.
(a) At a second cliff that is twice the height of the first, the measured time of the sound from the dropped stone is (1) less than double, (2) double, or (3) more than double that of the first. Why?
(b) If the measured time is 4.8 s for the stone drop-ping from the first cliff, and the air temperature is 20 oC, how high is the cliff?
(c) If the height of a third cliff is three times that of the first one, what would be the measured time for a stone dropped from that cliff to reach the ground?