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Mathematics
Mathematics
Problem
The velocity of a particle for
0
≤
t
≤
4
0\le t\le 4
0
≤
t
≤
4
seconds is
v
(
t
)
=
k
t
2
−
2
v(t)=k t^{2}-2
v
(
t
)
=
k
t
2
−
2
meters per second. If the average velocity over this interval is
3
3
3
meters per second, what is the value of
k
k
k
? a)
5
16
\dfrac{5}{16}
16
5
b)
15
16
\dfrac{15}{16}
16
15
c)
5
8
\dfrac{5}{8}
8
5
d)
5
4
\dfrac{5}{4}
4
5
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