soto (rrs946) – Homework 3 – Spurlock – (41003)
1
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printout
should
have
89
questions.
Multiplechoice questions may continue on
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before answering.
001
(part 1 of 2) 10.0 points
A truck travels up a hill with a 14
◦
incline.
The truck has a constant speed of 28 m
/
s.
What is the horizontal component of the
truck’s velocity?
Answer in units of m
/
s.
002
(part 2 of 2) 10.0 points
What is the vertical component of the truck’s
velocity?
Answer in units of m
/
s.
003
10.0 points
A hiker makes four straightline walks
A
19 km
at
105
◦
B
32 km
at
144
◦
C
25 km
at
183
◦
D
26 km
at
209
◦
in random directions and lengths starting at
position (41 km
,
41 km)
,
A
B
C
D
How far from the starting point is the hiker
after these four legs of the hike?
All angles
are measured in a counterclockwise direction
from the positive
x
axis.
Answer in units of km.
004
(part 1 of 2) 10.0 points
A
particle
undergoes
three
displacements.
The first has a magnitude of 15 m and makes
an angle of 37
◦
with the positive
x
axis. The
second has a magnitude of 8
.
8 m and makes
an angle of 150
◦
with the positive
x
axis. (see
the figure below).
After the third displacement the particle
returns to its initial position.
150
◦
37
◦
15 m
8
.
8 m
Find the magnitude of the third displace
ment.
Answer in units of m.
005
(part 2 of 2) 10.0 points
Find the angle of the third displacement (mea
sured from the positive
x
axis, with counter
clockwise positive within the limits of

180
◦
to +180
◦
).
Answer in units of
◦
.
006
(part 1 of 2) 10.0 points
A particle undergoes two displacements, mea
sured from the positive
x
axis, with counter
clockwise positive. The first has a magnitude
of 11 m and makes an angle of 79
◦
with the
positive
x
axis.
The resultant displacement
has a magnitude of 8
.
4 m directed at an angle
of 118
◦
from the positive
x
axis.
118
◦
79
◦
11 m
8
.
4 m
Find the magnitude of the second displace
ment.
Answer in units of m.
007
(part 2 of 2) 10.0 points
Find the angle of the second displacement
(measured from the positive
x
axis, with coun
terclockwise positive and within the limits of

180
◦
to +180
◦
).
Answer in units of
◦
.
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soto (rrs946) – Homework 3 – Spurlock – (41003)
2
008
(part 1 of 3) 10.0 points
A particle moves in the
xy
plane with constant
acceleration.
At time zero, the particle is
at
x
= 2
.
5 m,
y
= 3
.
5 m, and has velocity
vectorv
o
= (3 m
/
s) ˆ
ı
+(

1 m
/
s) ˆ
.
The acceleration
is given by
vectora
= (2 m
/
s
2
) ˆ
ı
+ (4 m
/
s
2
) ˆ
.
What is the
x
component of velocity after
5
.
5 s?
Answer in units of m
/
s.
009
(part 2 of 3) 10.0 points
What is the
y
component of velocity after
5
.
5 s?
Answer in units of m
/
s.
010
(part 3 of 3) 10.0 points
What is the magnitude of the displacement
from the origin (
x
= 0 m,
y
= 0 m) after
5
.
5 s?
Answer in units of m.
011
(part 1 of 2) 10.0 points
A particle has an initial horizontal velocity
of 2
.
1 m
/
s and an initial upward velocity of
4 m
/
s. It is then given a horizontal accelera
tion of 1
.
7 m
/
s
2
and a downward acceleration
of 1
.
5 m
/
s
2
.
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 Fall '11
 HOFFMAN
 Force, Friction, Work, Soto, Spurlock

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