Solving for Distance of Pit: 2 Seconds & 332m/s

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A boy dropped a stone into a pit, and a sound was heard 2 seconds later, prompting a calculation for the pit's depth. The initial calculation of 664 meters using the speed of sound was deemed incorrect, as it did not account for the time it took for the stone to fall. The total time of 2 seconds includes both the fall time of the stone and the time for the sound to travel back up. The correct approach involves setting the distance to the bottom of the pit as X and solving for the time taken for both the fall and the sound travel, which must equal 2 seconds. The discussion emphasizes that the question is valid and requires careful consideration of both time components.
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Homework Statement



A boy dropped a stone at a pit. A sound was heard 2 seconds later. What is the distance of the bottom of the pit?

The Attempt at a Solution


Given:
Time - 2 Seconds
Vsound - 332m/s

332m/s * 2s = 664meters.

I think it is somewhat wrong. Maybe purely wrong. I asked my teacher if the question has anything to do with vertical acceleration but my teacher said no.
 
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You need to consider the time it took for the stone to fall to the bottom of the pit.
 
Only the time is known.

But using (at^2)/2, the answer is reasonable.
 
*Also assuming that the 2seconds is the time it took for the stone to fall to the bottom of the pit.
 
2 seconds includes two parts,first,the time sound requires to travel a distance of pit,second,the time stone requires to fall to the bottom
 
@zj8651731 - Does this mean that the question itself is wrong?
 
There's nothing wrong with the question. Call the unknown distance to the bottom of the pit X. How long does it take to for the stone to fall that distance? How long does it take for the sound of the stone hitting bottom take to get back to the top? Those two times must add to what total time?
 
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