Abyss

Stone was pushed into the abyss: 2 seconds after we heard hitting the 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 result:

h =  18.6 m

Solution:

v=343 m/s t=t1+t2=2 s h=12gt12=vt2 h=12gt12=v(2t1) gt12=223432343t1 9.81t12+686t11372=0  t1,2=b±D2a=686±524433.2819.62 t1,2=34.96432212±36.9101762365 t1=1.94585411625 t2=71.8744983568 h=12gt12=18.6 m



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