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Mathematics
Problem
A particle has speed
v
(
t
)
=
2
+
t
v(t)=2+t
v
(
t
)
=
2
+
t
meters per second for
0
≤
t
≤
4
0\le t\le 4
0
≤
t
≤
4
seconds. Its kinetic energy at time
t
t
t
is
1
2
v
(
t
)
2
\dfrac12 v(t)^{2}
2
1
v
(
t
)
2
joules. Calculate the particle’s average kinetic energy over this interval.
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