A boy 2

A boy dropped a coin from the top of the dry well and heard a sound 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s.

Correct answer:

h =  151.5 m

Step-by-step explanation:

g=9.81 m/s2 t=6 s v=343 m/s  h = 21 g t12 = v t1 t1+t2 = t  0.5 g x2=v (tx)  0.5 9.81 x2=343 (6x) 4.9050000000002x2+343x2058=0  a=4.905;b=343;c=2058 D=b24ac=343244.905(2058)=158026.96 D>0  x1,2=2ab±D=9.81343±158026.96 x1,2=34.964322±40.522533 x1=5.558210954 x2=75.486855195  t1=x1=5.55825.5582 s t2=tt1=65.55820.4418 s  h=v t2=343 0.4418=151.5 m

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