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Mathematics
Mathematics
Problem
A bicyclist’s velocity (in meters per second) for
0
≤
t
≤
8
0\le t\le8
0
≤
t
≤
8
seconds is modeled by
v
(
t
)
=
2
sin
(
π
t
4
)
.
v(t)=2\sin\!\left(\frac{\pi t}{4}\right).
v
(
t
)
=
2
sin
(
4
π
t
)
.
Calculate the total distance the bicyclist travels, in meters, during this interval.
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