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Mathematics
Mathematics
Problem
The velocity of a particle is
v
(
t
)
=
6
t
(
1
+
3
t
2
)
−
1
/
2
v(t)=6t\,(1+3t^{2})^{-1/2}
v
(
t
)
=
6
t
(
1
+
3
t
2
)
−
1/2
for
t
>
0
t>0
t
>
0
. What can be said about its acceleration? a) Always negative for all
t
>
0
t>0
t
>
0
b) Zero for all
t
>
0
t>0
t
>
0
c) Always positive for all
t
>
0
t>0
t
>
0
d) Positive for small
t
t
t
but becomes negative as
t
t
t
increases
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