Part II: The Answers
378
Answers
601–700
621.
2
3
To find the displacement, simply integrate the velocity function over the given interval:
s
s
t t
dt
t
t
t
( ) ( )
( )
4
2
6
3 2
6
4
3
4
2
6 4
2
2
4
3
2
2
4
3
2
−
=
− −
(
)
=
− −
=
−
−
∫
−
−
−
=
− − +
=
−
=
2
3
2
2
6 2
64
3
32 8
3
14
56
3
54
3
2
3
3
2
( )
622.
0
To find the displacement, simply integrate the velocity function over the given interval:
s
s
tdt
t
π
π
π
π
( )− ( ) =
=
=
−
= ( )− ( )
=
∫
0
2
2
2
2
0
2 0 2 0
0
0
0
cos
s in
sin
sin
623.
3 3
2
−
To find the displacement, simply integrate the velocity function over the given interval:
s
s
t
t dt
t
t
π
π
π
π
π
π
π
2
6
2
6
2
6
2
( ) − −
( ) =
−
(
)
= −
−
(
)
= −
−
−
−
∫ sin cos
cos sin
cos
s sin
c os
sin
π
π
π
2
6
6
0 1
3
2
1
2
3 3
2
(
) − − −
( ) − −
( )
= −
( )−
−
+
=
−
378
Answers
601–700
621.
2
3
To find the displacement, simply integrate the velocity function over the given interval:
s
s
t t
dt
t
t
t
( ) ( )
( )
4
2
6
3 2
6
4
3
4
2
6 4
2
2
4
3
2
2
4
3
2
−
=
− −
(
)
=
− −
=
−
−
∫
−
−
−
=
− − +
=
−
=
2
3
2
2
6 2
64
3
32 8
3
14
56
3
54
3
2
3
3
2
( )
622.
0
To find the displacement, simply integrate the velocity function over the given interval:
s
s
tdt
t
π
π
π
π
( )− ( ) =
=
=
−
= ( )− ( )
=
∫
0
2
2
2
2
0
2 0 2 0
0
0
0
cos
s in
sin
sin
623.
3 3
2
−
To find the displacement, simply integrate the velocity function over the given interval:
s
s
t
t dt
t
t
π
π
π
π
π
π
π
2
6
2
6
2
6
2
( ) − −
( ) =
−
(
)
= −
−
(
)
= −
−
−
−
∫ sin cos
cos sin
cos
s sin
c os
sin
π
π
π
2
6
6
0 1
3
2
1
2
3 3
2
(
) − − −
( ) − −
( )
= −
( )−
−
+
=
−