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Mathematics
Mathematics
Problem
A particle moves along a straight line so that its position at time
t
t
t
seconds is
s
(
t
)
=
4
t
3
−
3
t
2
+
2
t
−
5
s(t)=4t^{3}-3t^{2}+2t-5
s
(
t
)
=
4
t
3
−
3
t
2
+
2
t
−
5
metres. a. (i) Find its instantaneous velocity
v
(
t
)
v(t)
v
(
t
)
. b. (ii) Calculate its acceleration at
t
=
2
s
t=2\text{ s}
t
=
2
s
.
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