Question

A man is at a certain distance from a cliff and he fires a gun and hears an echo after 1.5 seconds then he moves 437.5 away from the cliff and then now he hears the echo after 4 seconds.
find the speed of the sound.

Please answer it's really Urgent. Please help. ​

Answer 1

Answer:

HOPE IT HELPS U BRO

Explanation:

Let the distance of the cliff from the initial position of the man be d m.

So, the distance traveled by sound in 3 sec=2d m

So, speed of sound, S=

Time

Distance

S=

3

2d

.....(i)

On moving closer to the cliff by a distance of 82.5 m, the distance=2(d−82.5) m

So,

S=

t

d

S=

2.5

2(d−82.5)

=

2.5

2d−2×82.5

.....(ii)

Therefore form equation (i) and (ii)

3

2d

=

2.5

2d−2×82.5

5d=6d−495

d=495 m

Thus it is the distance of the cliff from the initial position of the man.

Now,

S=

3

2×495

=330 m/s

Answer 2

Answer:

A man standing in front of a vertical cliff fires a gun. He hears the echo after 3 s. On moving closer to the cliff by 82.5 m, he fires again and hears the echo after 2.5 s. Find: (i) the distance of the cliff from the initial position of the man and (ii) the speed of sound.

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