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Mathematics
Mathematics
Problem
The displacement of a particle moving along a straight line is given by
s
(
t
)
=
t
4
−
4
t
3
+
6
t
2
s(t)=t^4-4t^3+6t^2
s
(
t
)
=
t
4
−
4
t
3
+
6
t
2
(metres), where
t
t
t
is in seconds. What is its acceleration (in
m
/
s
2
\mathrm{m/s^2}
m/
s
2
) at
t
=
2
s
t=2\,\text{s}
t
=
2
s
? a)
24
24
24
b)
12
12
12
c)
0
0
0
d)
−
12
-12
−
12
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