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Mathematics
Mathematics
Problem
A particle moves on a straight line with acceleration
a
(
t
)
=
6
t
−
4
a(t)=6t-4
a
(
t
)
=
6
t
−
4
. At
t
=
0
t=0
t
=
0
the velocity is
3
m/s
3\text{ m/s}
3
m/s
and the position is
2
m
2\text{ m}
2
m
. Which of the following gives the particle’s position
s
(
t
)
s(t)
s
(
t
)
for all
t
≥
0
t\ge 0
t
≥
0
? a)
t
3
−
2
t
2
+
3
t
t^{3}-2t^{2}+3t
t
3
−
2
t
2
+
3
t
b)
t
3
−
2
t
2
+
3
t
+
2
t^{3}-2t^{2}+3t+2
t
3
−
2
t
2
+
3
t
+
2
c)
3
t
3
−
4
t
2
+
3
t
+
2
3t^{3}-4t^{2}+3t+2
3
t
3
−
4
t
2
+
3
t
+
2
d)
t
3
+
2
t
2
+
3
t
+
2
t^{3}+2t^{2}+3t+2
t
3
+
2
t
2
+
3
t
+
2
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