P18_001.PDF

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1. The rule: if you divide the time (in seconds) by 3, then you get (approximately) the straight-line distance
d.
We note that the speed of sound we are to use is given at the beginning of the problem section in the
textbook, and that the speed of light is very much larger than the speed of sound. The proof of our rule
is as follows:
d
d
d
t
=
t
sound
−
t
light
≈
t
sound
=
=
=
.
v
sound
343 m/s
0.343 km/s
Cross-multiplying yields (approximately) (0.3 km/s)t =
d
which (since 1/3
≈
0.3) demonstrates why the
rule works fairly well.

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