Question 937258
d = distance from shooter to target
s = d/t
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time of bullet traveling, from shooter fires to bullet hits target:
use speed of bullet:
a = d/s
a = d/1865
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time of sound traveling, from bullet hits target to shooter hears bullet hit target:
use speed of sound:
b = d/s
b = d/1100
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total time elapsed, from shooter fires to shooter hears bullet hit target:
a + b = 2
d/1865 + d/1100 = 2
1100d/(1100*1865) + 1865d/(1100*1865) = 2
1100d + 1865d = 2*(1100*1865)
(1100 + 1865)d = 2*(1100*1865)
d = 2*(1100*1865)/(1100 + 1865)
d = 1383.81112985
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answer:
distance from shooter to target = 1384 feet
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