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Mathematics
Mathematics
Problem
A particle moves in the plane along the path
x
=
3
t
x=3t
x
=
3
t
and
y
=
4
t
y=4t
y
=
4
t
for
t
≥
0
t\ge 0
t
≥
0
. Let
s
s
s
denote the arc length of the path measured from
t
=
0
t=0
t
=
0
. Which of the following gives
t
t
t
as a function of
s
s
s
? a)
t
=
s
7
t=\dfrac{s}{7}
t
=
7
s
b)
t
=
5
s
t=5s
t
=
5
s
c)
t
=
s
5
t=\dfrac{s}{5}
t
=
5
s
d)
t
=
s
4
t=\dfrac{s}{4}
t
=
4
s
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