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Physics
Physics
Problem
Particle P moves on a straight track according to
p
(
t
)
=
t
2
+
1
p(t)=t^{2}+1
p
(
t
)
=
t
2
+
1
for
t
≥
0
t\ge0
t
≥
0
. Particle Q is at rest at
x
=
4
x=4
x
=
4
m until
t
=
2
t=2
t
=
2
s, after which its position is
q
(
t
)
=
(
t
−
2
)
2
+
4
q(t)=(t-2)^{2}+4
q
(
t
)
=
(
t
−
2
)
2
+
4
for
t
≥
2
t\ge2
t
≥
2
. Find the distance between the particles at
t
=
3
t=3
t
=
3
s.
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