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Suppose you fire a rifle bullet at 1600 m/s in a shooting gallery and hear the gong on the target ring 0.723 seconds later. Taking the speed of sound to be 326 m/s and assuming the bullet travels straight downrange at a constant speed, how far away is the target?

Answer :

The total time would be
the sum of time for the bullet to reach the gong and the time it takes the
sound to reach you.



So we have:



0.723 s = time for
bullet to reach gong + time for sound to reach you

Let us say that D is the distance, then time for bullet to
reach gong is D/1600
While the time for sound to reach you is D/326

therefore we get

0.723 = D/1600 +D/326


D = 0.723 / (1/1600 + 1/326)



D = 195.8 m

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Rewritten by : Jeany