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Mathematics
Mathematics
Problem
The velocity of a car is modeled by
v
(
t
)
=
t
3
−
6
t
2
+
8
t
v(t)=t^{3}-6t^{2}+8t
v
(
t
)
=
t
3
−
6
t
2
+
8
t
meters per second for
0
≤
t
≤
5
0\le t\le 5
0
≤
t
≤
5
. Calculate the total distance the car travels on this interval. Report your answer to three decimal places.
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