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Mathematics
Mathematics
Problem
For
0
≤
t
≤
6
0\le t\le 6
0
≤
t
≤
6
seconds, a particle has velocity
v
(
t
)
=
2
sin
(
π
t
3
)
v(t)=2\sin\left(\dfrac{\pi t}{3}\right)
v
(
t
)
=
2
sin
(
3
π
t
)
meters per second. Calculate the particle’s net displacement and its total distance traveled on this interval, giving exact values.
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