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2.50:
a) From Eq. (2.15), the velocity
v
2
at time
t
∫
+
=
t
t
dt
αt
v
v
1
1
2
)
(
2
2
1
2
1
t
t
v

+
=
α
2
2
1
1
2
2
t
t
v
+

=
= (5.0
s
m
) – (0.6
3
s
m
)(1.0 s)
2
+ (0.6
3
s
m
)
t
2
= (4.40
s
m
) + (0.6
3
s
m
)
t
2
.
At
t
2
= 2.0 s, the velocity is
v
2
= (4.40
s
m
) + (0.6
3
s
m
)(2.0 s)
2
= 6.80 m/s, or 6.8
s
m
to two significant figures.
b) From Eq. (2.16), the position
x
2
as a function of time is
dt
v
x
x
x
t
t
1
1
2
∫
+
=
dt
t
t
t
)
)
s
/
m
6
.
0
(
)
s
/
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