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Mathematics
Mathematics
Problem
A particle moves in a plane such that its velocity at time
t
t
t
is
v
(
t
)
=
30
i
^
+
(
40
−
10
t
)
j
^
\mathbf{v}(t)=30 \hat{\mathbf{i}}+(40-10 t) \hat{\mathbf{j}}
v
(
t
)
=
30
i
^
+
(
40
−
10
t
)
j
^
and it passes through the origin at
t
=
0
t=0
t
=
0
. Find the expression for its position vector
r
(
t
)
\mathbf{r}(t)
r
(
t
)
.
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