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Mathematics
Mathematics
Problem
The position of a particle moving along a straight line is given by
x
(
t
)
=
3
t
2
+
2
t
+
4
m
x(t)=3t^{2}+2t+4\;\text{m}
x
(
t
)
=
3
t
2
+
2
t
+
4
m
, where
t
t
t
is in seconds. Find its instantaneous velocity at
t
=
2
s
t=2\,\text{s}
t
=
2
s
. a)
12
m
s
−
1
12\,\text{m}\,\text{s}^{-1}
12
m
s
−
1
b)
18
m
s
−
1
18\,\text{m}\,\text{s}^{-1}
18
m
s
−
1
c)
14
m
s
−
1
14\,\text{m}\,\text{s}^{-1}
14
m
s
−
1
d)
10
m
s
−
1
10\,\text{m}\,\text{s}^{-1}
10
m
s
−
1
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