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Mathematics
Mathematics
Problem
A particle travels with velocity
v
(
t
)
=
b
(
4
−
t
)
v(t)=b(4-t)
v
(
t
)
=
b
(
4
−
t
)
meters per second for
0
≤
t
≤
4
0\le t\le 4
0
≤
t
≤
4
and
v
(
t
)
=
b
(
t
−
4
)
v(t)=b(t-4)
v
(
t
)
=
b
(
t
−
4
)
meters per second for
4
<
t
≤
8
4<t\le 8
4
<
t
≤
8
. The total distance the particle travels on the time interval
0
≤
t
≤
8
0\le t\le 8
0
≤
t
≤
8
is
48
48
48
meters. Determine the value of
b
b
b
.
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