johnson (kmj2853) – Homework 3, 2d motion 2021 – dowd – (HailemariamAPHY1
2)
1
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printout
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have
22
questions.
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before answering.
001(part1of2)10.0points
Express the vector
vector
R
A
B
C
D
P
R
in terms of
vector
A
,
vector
B
,
vector
C
, and
vector
D
, the edges of a
parallelogram.
1.
vector
R
=
vector
B
+
vector
A
correct
2.
vector
R
=
vector
B
+
vector
D
vector
P
=
vector
C
+
vector
D
4.
vector
P
=
vector
C
+
vector
B
5.
vector
P
=
vector
B
+
vector
A
6.
vector
P
=
vector
D

vector
A
7.
vector
P
=
vector
B

vector
A
8.
vector
P
=
vector
B
+
vector
D
9.
vector
P
=
vector
A
+
vector
D
10.
vector
P
=
vector
A

vector
D
3.
vector
R
=
vector
B

vector
A
4.
vector
R
=
vector
C
+
vector
B
3.
vector
P
=
vector
C
+
vector
D
4.
vector
P
=
vector
C
+
vector
B
5.
vector
P
=
vector
B
+
vector
A
6.
vector
P
=
vector
D

vector
A
7.
vector
P
=
vector
B

vector
A
8.
vector
P
=
vector
B
+
vector
D
9.
vector
P
=
vector
A
+
vector
D
10.
vector
P
=
vector
A

vector
D
5.
vector
R
=
vector
A

vector
D
10.0points
Vector
vector
B
has
x
,
y
, and
z
components of 3
.
3,
8
.
7, and 9
.
4 units, respectively.
Calculate the magnitude of
vector
B
.
6.
vector
R
=
vector
A
+
vector
D
7.
vector
R
=
vector
C
+
vector
D
8.
vector
R
=
vector
A

vector
B
003
10.0points
Vector
vector
B
has
x
,
y
, and
z
components of 3
.
3,
8
.
7, and 9
.
4 units, respectively.
Calculate the magnitude of
vector
B
.
10.
vector
R
=
vector
D

vector
A
002(part2of2)10.0points
For the vector
vector
B
=
B
x
ˆ
ı
+
B
y
ˆ
+
B
z
ˆ
k .
Express the vector
vector
P
in terms of
vector
A
,
vector
B
,
vector
C
, and
vector
D
,
1.
vector
P
=
vector
C

vector
A
2.
vector
P
=
vector
A

vector
B
correct
004
10.0points
Vectors
vector
A
,
vector
B
,
vector
C
,
vector
D
, and
vector
E
are shown in
the figure. For convenience, the tails of each
vector are arbitrarily located at (0,0).
johnson (kmj2853) – Homework 3, 2d motion 2021 – dowd – (HailemariamAPHY1
2)
2
y

5

3

1 0
1
2
3
4
5
x

5

4

3

2

1
0
1
2
3
4
5
A
B
C
D
E
3.
y

5

3

1 0
1
2
3
4
5
x

5

4

3

2

1
0
1
2
3
4
5
R
005
10.0points
Two airplanes leave an airport at the same
time.
The velocity of the first airplane is
660 m
/
h at a heading of 12
.
3
◦
. The velocity
of the second is 580 m
/
h at a heading of 148
◦
.
How far apart are they after 3
.
3 h?