A stone is dropped from the top of a tower 400 ft high into a lake. How many seconds will it take before the impact sound is heard at the top of the tower?

A stone is dropped from the top of a tower 400 ft high into a lake. How many seconds will it take before the impact sound is heard at the top of the tower?

Explanation
1. Stone dropped from 400 ft tower — Impact sound heard time:

  • What happens: Stone falls, hits water, sound travels back up.

  • Key points:

    • Time to fall = 2hg=2×40032=5 secondssqrt{frac{2h}{g}} = sqrt{frac{2 times 400}{32}} = 5 text{ seconds}

    • Time for sound to travel up = 40011200.36 secondsfrac{400}{1120} approx 0.36 text{ seconds}

  • Total time: Around seconds (approximate).