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Mathematics
Problem
For a particle whose position is
s
(
t
)
s(t)
s
(
t
)
meters for
1
≤
t
≤
4
1\le t\le4
1
≤
t
≤
4
, which of the following expressions gives the particle’s average velocity on the interval
[
1
,
4
]
[1,4]
[
1
,
4
]
? a)
s
′
(
4
)
+
s
′
(
1
)
2
\displaystyle\dfrac{s'(4)+s'(1)}{2}
2
s
′
(
4
)
+
s
′
(
1
)
b)
s
(
4
)
−
s
(
1
)
4
−
1
\displaystyle\dfrac{s(4)-s(1)}{4-1}
4
−
1
s
(
4
)
−
s
(
1
)
c)
1
3
[
s
′
(
4
)
−
s
′
(
1
)
]
\displaystyle\dfrac{1}{3}\bigl[s'(4)-s'(1)\bigr]
3
1
[
s
′
(
4
)
−
s
′
(
1
)
]
d)
s
(
4
)
−
s
(
1
)
4
\displaystyle\dfrac{s(4)-s(1)}{4}
4
s
(
4
)
−
s
(
1
)
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