The stone fell into the abyss: 2 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)?

(gravitational acceleration g = 9.81 m/s2 and the speed of sound in air v = 343 m/s)

Correct answer:

h =  18.6 m

Step-by-step explanation:

v=343 m/s t=t1+t2=2 s h=21gt12=vt2 h=21gt12=v(2t1) gt12=223432343t1 9.81t12+686t11372=0  t1,2=2ab±D=19.62686±524433.28 t1,2=34.964322±36.910176 t1=1.945854116 t2=71.874498357 h=21gt12=18.6 m

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