Question 395427
a bullet is fired horizontally at a target, and the sound of impact is heard 1/5 sec later.
 If the speed of the bullet is 3300 ft/sec and the speed of sound is 1100 ft/sec, how far away is the target/
:
let d = distance to the target
:
Write a time equation: Time = dist/speed
:
Bullet travel time + sound return time = .2 sec
{{{d/3300}}} + {{{d/1100}}} = .2
multiply by 3300, results:
d + 3d = .2(3300)
4d = 660
d = {{{660/4}}}
d = 165 ft
:
:
Check, find the travel time of the bullet and the sound:
165/3300 = .05 sec
165/1100 = .15 sec
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total time:.20 sec