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Mathematics
Mathematics
Problem
A particle moves along a line so that its displacement after
t
t
t
seconds is
s
(
t
)
=
(
t
2
+
2
t
)
3
/
2
s(t)=(t^{2}+2t)^{3/2}
s
(
t
)
=
(
t
2
+
2
t
)
3/2
metres. a. (i) Find its velocity
v
(
t
)
v(t)
v
(
t
)
. b. (ii) Find its acceleration when
t
=
1
t=1
t
=
1
\,s.
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