A hunter is standing on flat ground between two vertical cliffs that are directly opposite one another. He is closer to one cliff than the other. He fires a gun and, after a while, hears three echoes. The second echo arrives 1.76 s after the first, and the third echo arrives 1.38 s after the second. Assuming that the speed of sound is 343 m/s and that there are no reflections of sound from the ground, find the distance (in m) between the cliffs.

Question

Physics

Travis Rice

1 July, 10:49

A hunter is standing on flat ground between two vertical cliffs that are directly opposite one another. He is closer to one cliff than the other. He fires a gun and, after a while, hears three echoes. The second echo arrives 1.76 s after the first, and the third echo arrives 1.38 s after the second. Assuming that the speed of sound is 343 m/s and that there are no reflections of sound from the ground, find the distance (in m) between the cliffs.

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Darcy · Answer 1

Distance=538.51m

Explanation:

The echo is heard after covering double distance.

Therefore 2d = (t1+t2) * speed.

2d={ (1.76+1.38) * 343}

2d=743.02

d=1077.02:2

=538.51m