A stone is dropped into a well and its splash is heard at the mouth of the well after an - Science - Sound

Question

A stone is dropped into a well and its splash is heard at the
mouth of the well after an interval of 1 45 s find the depth of the
well given that the velocity of sound in air is equal to 332
m/s

Vijay Yadav · Accepted Answer

Assume depth of the well = d
Using kinematics equation
s = ut + (1/2)at2 and u = 0, a = g, s = d
=> d = (1/2)gt2 (1)
velocity of sound in air = 332 m/s
Time in which sound travels = (1 45-t) s
d = speed sound * time
=> d = 332(1 45-t) (2)
Solve the equation (1) and (2) for d = ?

A stone is dropped into a well and its splash is heard at the mouth of the well after an interval of 1.45 s . find the depth of the well. given that the velocity of sound in air is equal to 332 m/s .