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Mathematics
Mathematics
Problem
A particle moves along a line with velocity function
v
(
t
)
v(t)
v
(
t
)
(meters per second) defined for
0
≤
t
≤
8
0\le t\le 8
0
≤
t
≤
8
. If
∫
0
8
v
(
t
)
d
t
=
0
\displaystyle \int_{0}^{8} v(t)\,dt = 0
∫
0
8
v
(
t
)
d
t
=
0
, determine the particle’s position at
t
=
8
t=8
t
=
8
relative to its position at
t
=
0
t=0
t
=
0
.
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