Question

A stone is dropped into a well is heard to strike the water after 4 seconds find depth of well the velocity of sound is 350 m/s

Answer 1

velocity = 350m/s

time taken = 4 s

distance or depth = velocity × time taken

depth = 350 × 4

depth = 1400m

Answer 2

The depth of the well is 1321.52 meters.

As per the given information,

Time = 4 second

Velocity of sound = 350 m/s

We know the formula:

$distance = (1/2) \times acceleration \times time^2$

We here time is the amount of time it takes for the stone to reach the water and acceleration is the acceleration brought on by gravity.

The sound wave that goes from the water to the well's top and finally to our ears may be calculated using the same formula:

$distance = velocity \times time$

Where velocity is the velocity of sound

time is the time it takes for the sound to reach our ears.

Let's start by using the equation for the stone:

$distance = (1/2) \times 9.81 m/s^2 \times (4 s)^2$

distance = 78.48 meters

Hence, the depth of the well is 78.48 meters.

Now by using the formula for the sound wave:

$distance = 350 m/s \times 4 s$

distance = 1400 meters

This is the length of time the sound wave lasts (from the water to the top of the well, and then to our ears).

We must deduct the stone's previous travels in order to get the well's real depth:

depth of well = 1400 meters - 78.48 meters

depth of well = 1321.52 meters

Therefore, the depth of the well is 1321.52 meters.

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https://brainly.in/question/49075584

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