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Mathematics
Mathematics
Problem
The velocity of a particle moving along a line is
v
(
t
)
=
t
2
sin
t
v(t)=t^{2}\sin t
v
(
t
)
=
t
2
sin
t
meters per second for
π
≤
t
≤
2
π
\pi\le t\le2\pi
π
≤
t
≤
2
π
. What is the particle’s displacement (in meters) on this interval? a)
−
4
π
2
+
2
-4\pi^{2}+2
−
4
π
2
+
2
b)
5
π
2
−
4
5\pi^{2}-4
5
π
2
−
4
c)
−
5
π
2
+
4
-5\pi^{2}+4
−
5
π
2
+
4
d)
−
5
π
2
−
4
-5\pi^{2}-4
−
5
π
2
−
4
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