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Mathematics
Mathematics
Problem
A particle moves with velocity
v
(
t
)
=
sin
(
π
t
)
v(t)=\sin(\pi t)
v
(
t
)
=
sin
(
π
t
)
meters per second for
0
≤
t
≤
3
0\le t\le 3
0
≤
t
≤
3
seconds. Compute (i) the total distance it travels and (ii) its net displacement on this interval.
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