Question

iv) After 5 seconds of firing a pistol by a policeman, a person heard the sound.Calculate
the distance of the person from the policeman? [Speed of sound is air=342 m/s]​

Answer 1

Answer:

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Explanation:

The speed of the sound is calculated as follows.

Let d be the distance between the man and the hill in the beginning.

v=  

t

2×d

​  

 =  

5

2×d

​  

→eqn1

He moves 310 m towards the hill. Therefore the distance will be (d - 310) m. Therefore,

v=  

3

2(d−310)

​  

→eqn2

Since velocity of sound is same, equating (1) and (2), we get

5

2d

​  

=  

3

2(d−310)

​  

 

3d = 5d - 1550

2d = 1550

d = 775 m

Hence, the velocity of sound v=  

5

2×775

​  

 (substituting in equation 1)

v=310m/s