Asymptotic Stopping | PhysElo
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104.
Asymptotic Stopping
+10
A particle moves along the
x
x
x
-axis. Its velocity as a function of position is
v
(
x
)
=
v
0
(
1
−
x
/
L
)
v(x) = v_0(1 - x/L)
v
(
x
)
=
v
0
(
1
−
x
/
L
)
for
0
≤
x
≤
L
0 \le x \le L
0
≤
x
≤
L
, with
v
0
>
0
v_0 > 0
v
0
>
0
. How long does the particle take to reach
x
=
L
x = L
x
=
L
?
A
L
/
v
0
L/v_0
L
/
v
0
B
2
L
/
v
0
2L/v_0
2
L
/
v
0
C
π
L
/
(
2
v
0
)
\pi L/(2 v_0)
π
L
/
(
2
v
0
)
D
4
L
/
v
0
4L/v_0
4
L
/
v
0
E
The particle never reaches
x
=
L
x = L
x
=
L
.
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