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Mathematics
Mathematics
Problem
A particle moves along a straight line with velocity
v
(
t
)
=
t
2
−
4
t
+
3
v(t)=t^{2}-4t+3
v
(
t
)
=
t
2
−
4
t
+
3
meters per second for
0
≤
t
≤
6
0\le t\le6
0
≤
t
≤
6
seconds. The average value of its position function on the interval
[
0
,
6
]
[0,6]
[
0
,
6
]
is known to be
10
10
10
meters. Determine the particle’s initial position
s
(
0
)
s(0)
s
(
0
)
.
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