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suppose you fire a bullet speed 1600 m/s in a shooting gallery and hear the gong on the target ring .731s later taking the speed of sound to be 330m/s and assuming the bullet travels straight downrange at a constant speed, how far does the bullet travel before hitting the target?

thanks so much!

2 answers

Let
L = length of the gallery, m.
b = speed of bullet, m/s
s = speed of sound, m/s
t = Time delay, sec.

Time for bullet to reach target
t1 = L/b
Time for sound to reach shooter
t2 = L/s
Total time
t = t1 + t2
Solve for L,
45