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Mathematics
Mathematics
Problem
A particle moves so that its velocity is
v
(
t
)
=
3
t
i
+
4
j
+
0
k
\mathbf v(t)=3t\,\mathbf i+4\,\mathbf j+0\,\mathbf k
v
(
t
)
=
3
t
i
+
4
j
+
0
k
. At
t
=
1
t=1
t
=
1
, the particle is on the plane
x
−
2
y
+
z
=
5
x-2y+z=5
x
−
2
y
+
z
=
5
at the point where
y
=
1
y=1
y
=
1
. At what later time
t
>
1
t>1
t
>
1
does the particle next cross the same plane? a)
t
=
4
t=4
t
=
4
b)
t
=
13
3
t=\dfrac{13}{3}
t
=
3
13
c)
t
=
9
2
t=\dfrac{9}{2}
t
=
2
9
d)
t
=
5
t=5
t
=
5
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