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Mathematics
Mathematics
Problem
For
0
≤
t
≤
5
0\le t\le 5
0
≤
t
≤
5
seconds, particle R has position
x
R
(
t
)
=
t
2
−
6
t
+
3
x_R(t)=t^2-6t+3
x
R
(
t
)
=
t
2
−
6
t
+
3
meters and particle S has position
x
S
(
t
)
=
−
t
2
+
2
t
+
15
x_S(t)=-t^2+2t+15
x
S
(
t
)
=
−
t
2
+
2
t
+
15
meters along the same line. Determine the time in this interval when the distance between the two particles is minimized.
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