Homework 3, 2d motion 23-24-problems
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Subject
Mathematics
Date
Apr 3, 2024
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peacock (ip6239) – Homework 3, 2d motion 23-24 – tejeda – (KayaAPHY1
1)
1
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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
D
2.
vector
R
=
vector
C
+
vector
D
3.
vector
R
=
vector
B
-
vector
A
4.
vector
R
=
vector
A
+
vector
D
5.
vector
R
=
vector
D
-
vector
A
6.
vector
R
=
vector
A
-
vector
D
7.
vector
R
=
vector
B
+
vector
A
8.
vector
R
=
vector
A
-
vector
C
9.
vector
R
=
vector
A
-
vector
B
10.
vector
R
=
vector
C
+
vector
B
002(part2of2)10.0points
Express the vector
vector
P
in terms of
vector
A
,
vector
B
,
vector
C
, and
vector
D
,
1.
vector
P
=
vector
A
+
vector
D
2.
vector
P
=
vector
B
-
vector
A
3.
vector
P
=
vector
B
+
vector
A
4.
vector
P
=
vector
A
-
vector
B
5.
vector
P
=
vector
D
-
vector
A
6.
vector
P
=
vector
A
-
vector
D
7.
vector
P
=
vector
C
+
vector
B
8.
vector
P
=
vector
C
+
vector
D
9.
vector
P
=
vector
C
-
vector
A
10.
vector
P
=
vector
B
+
vector
D
003
10.0points
Vector
vector
B
has
x
,
y
, and
z
components of 8
.
3,
5
.
5, and 9
.
3 units, respectively.
Calculate the magnitude of
vector
B
.
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).
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
Identify
vector
R
= +
vector
A
+
vector
B
+
vector
C
+
vector
D
+
vector
E ,
1.
peacock (ip6239) – Homework 3, 2d motion 23-24 – tejeda – (KayaAPHY1
1)
2
y
-
5
-
3
-
1 0
1
2
3
4
5
x
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
R
2.
y
-
5
-
3
-
1 0
1
2
3
4
5
x
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
R
3.
None of these figures is correct.
4.
y
-
5
-
3
-
1 0
1
2
3
4
5
x
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
R
5.
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
690 m
/
h at a heading of 44
.
6
◦
. The velocity
of the second is 560 m
/
h at a heading of 121
◦
.
How far apart are they after 2
.
6 h?
Answer in units of
m. Answer in units of
m.
006(part1of2)10.0points
One strategy in a snowball fight is to throw
a snowball at a high angle over level ground.
While your opponent is watching this first
snowball, you throw a second snowball at a
low angle and time it to arrive at the same
time as the first.
Assume both snowballs are thrown with
the same initial speed 11 m
/
s. The first snow-
ball is thrown at an angle of 75
◦
above the
horizontal. At what angle should you throw
the second snowball to make it hit the same
point as the first? Note the starting and end-
ing heights are the same. The acceleration of
gravity is 9
.
8 m
/
s
2
.
007(part2of2)10.0points
How many seconds after the first snowball
should you throw the second so that they
arrive on target at the same time?
Answer in units of s. Answer in units of s.
008(part1of3)10.0points
An Alaskan rescue plane traveling 35 m
/
s
drops a package of emergency rations from
peacock (ip6239) – Homework 3, 2d motion 23-24 – tejeda – (KayaAPHY1
1)
3
a height of 172 m to a stranded party of
explorers.
The acceleration of gravity is 9
.
8 m
/
s
2
.
Where does the package strike the ground
relative to the point directly below where it
was released?
Answer in units of
m. Answer in units of
m.
009(part2of3)10.0points
What is the horizontal component of the ve-
locity just before it hits?
Answer in units of m
/
s. Answer in units of
m
/
s.
010(part3of3)10.0points
What is the vertical component of the velocity
just before it hits?
(Choose upward as the
positive vertical direction)
Answer in units of m
/
s. Answer in units of
m
/
s.
011
10.0points
To win the game, a place kicker must kick a
football from a point 31 m (33
.
9016 yd) from
the goal, and the ball must clear the crossbar,
which is 3
.
05 m high. When kicked, the ball
leaves the ground with a speed of 19 m
/
s at
an angle of 45
◦
from the horizontal.
The acceleration of gravity is 9
.
8 m
/
s
2
.
By how much vertical distance does the ball
clear the crossbar?
Answer in units of
m. Answer in units of
m.
012
10.0points
A cat chases a mouse across a 0.65 m high
table.
The mouse steps out of the way, and
the cat slides off the table and strikes the floor
2.7 m from the edge of the table.
The acceleration of gravity is 9
.
81 m
/
s
2
.
What was the cat’s speed when it slid off
the table?
Answer in units of m
/
s. Answer in units of
m
/
s.
013
10.0points
Given:
The battleship and enemy ships
A
and
B
lie along a straight line.
Neglect air
friction.
A battleship simultaneously fires two shells
with the same initial velocity at these two
enemy ships.
battleship
A
B
If the shells follow the parabolic trajectories
shown in the figure, which ship gets hit first?
1.
A
2.
need more information
3.
both at the same time
4.
B
014
10.0points
A jet airliner moving initially at 186 mph
(with respect to the ground) to the east moves
into a region where the wind is blowing at
853 mph in a direction 50
◦
north of east.
What is the new speed of the aircraft with
respect to the ground?
Answer in units of
mph. Answer in units
of mph.
015(part1of2)10.0points
A cheetah can run at a maximum speed
93
.
4 km
/
h and a gazelle can run at a max-
imum speed of 76
.
8 km
/
h.
If both animals are running at full speed,
with the gazelle 72
.
2 m ahead, how long before
the cheetah catches its prey?
Answer in units of s. Answer in units of s.
016(part2of2)10.0points
The cheetah can maintain its maximum speed
for only 7
.
5 s.
What is the minimum distance the gazelle
must be ahead of the cheetah to have a chance
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peacock (ip6239) – Homework 3, 2d motion 23-24 – tejeda – (KayaAPHY1
1)
4
of escape? (After 7
.
5 s the speed of cheetah is
less than that of the gazelle.)
Answer in units of
m. Answer in units of
m.
017
10.0points
Cliff divers at Acapulco jump into the sea
from a cliff 37
.
9 m high.
At the level of the
sea, a rock sticks out a horizontal distance of
14
.
86 m.
The acceleration of gravity is 9
.
8 m
/
s
2
.
With what minimum horizontal velocity
must the cliff divers leave the top of the cliff if
they are to miss the rock?
Answer in units of m
/
s. Answer in units of
m
/
s.
018
10.0points
Salmon often jump waterfalls to reach their
breeding grounds.
Starting downstream, 3
.
41 m away from a
waterfall 0
.
397 m in height, at what minimum
speed must a salmon jumping at an angle of
28
.
4
◦
leave the water to continue upstream?
The acceleration due to gravity is 9
.
81 m
/
s
2
.
Answer in units of m
/
s. Answer in units of
m
/
s.
019
10.0points
A ball is thrown horizontally from the top of
a building 110 m high.
The ball strikes the
ground 70 m horizontally from the point of
release.
What is the speed of the ball just before it
strikes the ground?
Answer in units of m
/
s. Answer in units of
m
/
s.
020(part1of3)10.0points
A ski jumper travels down a slope and leaves
the ski track moving in the horizontal direc-
tion with a speed of 24 m
/
s as in the figure.
The landing incline below her falls off with a
slope of
θ
= 54
◦
.
The acceleration of gravity is 9
.
8 m
/
s
2
.
d
54
◦
φ
24 m
/
s
v
f
y
x
Calculate the distance
d
she travels along
the incline before landing.
Answer in units of
m. Answer in units of
m.
021(part2of3)10.0points
Determine how long the ski jumper is air-
borne.
Answer in units of s. Answer in units of s.
022(part3of3)10.0points
What is the magnitude of the relative angle
φ
with which the ski jumper hits the slope?
Answer in units of
◦
. Answer in units of
◦
.