A man fires a gun and hears an echo after 5 s. then he runs with a velocity away from the wall and fires. he hears the echo after 10 s . find his velocity. velocity of sound in air is 340m/s.
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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=t2×d = 52×d→eqn1
He moves 310 m towards the hill. Therefore the distance will be (d - 310) m. Therefore,
v=32(d−310)→eqn2
Since velocity of sound is same, equating (1) and (2), we get
52d=32(d−310)
3d = 5d - 1550
2d = 1550
d = 775 m
Hence, the velocity of sound v=52×775 (substituting in equation 1)
v=310m/s
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