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Mathematics
Mathematics
Problem
The displacement of a particle moving along a straight line is given by
s
(
t
)
=
sin
(
4
t
2
)
s(t)=\sin(4t^{2})
s
(
t
)
=
sin
(
4
t
2
)
, where
s
s
s
is in metres and
t
t
t
is in seconds. a. (i) Find the velocity
v
(
t
)
v(t)
v
(
t
)
. b. (ii) Determine the acceleration
a
(
t
)
a(t)
a
(
t
)
and hence find
a
(
π
2
)
a\bigl(\tfrac{\pi}{2}\bigr)
a
(
2
π
)
.
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