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Mathematics
Problem
The velocity (in meters per second) of a particle moving along a line is
v
(
t
)
=
t
2
−
6
t
+
5
v(t)=t^{2}-6t+5
v
(
t
)
=
t
2
−
6
t
+
5
for
0
≤
t
≤
7
0\le t\le 7
0
≤
t
≤
7
, where
t
t
t
is measured in seconds. Compute the particle’s net displacement and its total distance traveled over this interval.
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