2.74:
a) From Eq. (2.17
), x
(
t
)
=
α
t
–
3
3
t
β
= (4.00
s
m
)
t
– (0.667
3
s
m
)
t
3
.
From Eq.
(2.5), the acceleration is
a
(
t
) =
–2
t
= (– 4.00
3
s
m
)
t.
b) The velocity is zero at
β
α
t
±
=
(
a
= 0 at
t
= 0, but this is an inflection point, not an
extreme). The extreme values of
x
are then

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