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12. (a) Let the fast and the slow cars be separated by a distance
d
at
t
= 0. If during the
time interval
/
(12.0 m)/(5.0 m/s)
2.40 s
s
tL
v
==
=
in which the slow car has moved a
distance of
12.0 m
L
=
, the fast car moves a distance of
vt
d
L
=+
to join the line of
slow cars, then the shock wave would remain stationary. The condition implies a
separation of
(25 m/s)(2.4 s) 12.0 m
48.0 m.
dv
=−=
−
=
(b) Let the initial separation at
0
t
=
be
96.0 m.
d
=
At a later time
t
, the slow and the
fast cars have traveled
s
x
vt
=
and the fast car joins the line by moving a distance
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This note was uploaded on 09/03/2009 for the course PHYS 1200 taught by Professor Stoler during the Spring '06 term at Rensselaer Polytechnic Institute.
 Spring '06
 Stoler
 Physics

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