1.

A man fires a gun and hears its echo after 5s. The man then moves 310 m towards the hill and fires his gun again. If he hears the echo after 3 s, calculate the speed of sound.

Answer»

SOLUTION :Distance (d) = VELOCITY (v) `xx` time (t)
Distance TRAVELLED by sound when gun fires FIRST time, `2d=v xx 5 "" ………..(1)`
Distance travelled by sound when gun fires second time, `2d-620=v xx 3 ""…………..(2)`
Rewriting equation (2) as,
`2d=(v xx 3)+620""............(3)`
Equating (1) and (3), `5v=3v+620`
`2v=620`
Velocity of sound, `v=310 m s^(-1)`


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