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On an alien world, sound travels very slow due to a thin atmosphere, with vsound =...

On an alien world, sound travels very slow due to a thin atmosphere, with vsound = 95.5 m/s. An astronaut stands on the edge of a tall 4580 m cliff on this world. She drops from rest a firecracker off the edge of the cliff and wants the sound of the firecracker to return to her location at the exact instant that the firecracker reaches the bottom of the cliff. If the acceleration due to gravity on this world is 7.77 m/s2, and the explosion of the firecracker in no way affects its path, then how long must the firecracker's fuse burn?

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