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Mathematics
Mathematics
Problem
Show that for a particle whose displacement varies with time according to
x
(
t
)
=
a
t
3
x(t)=a t^{3}
x
(
t
)
=
a
t
3
, the instantaneous velocity is
v
(
t
)
=
3
a
t
2
v(t)=3 a t^{2}
v
(
t
)
=
3
a
t
2
.
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