Homework 2, 1d motion 23-24-problems
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Course
101
Subject
Mathematics
Date
Apr 3, 2024
Type
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6
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peacock (ip6239) – Homework 2, 1d motion 23-24 – tejeda – (KayaAPHY1
1)
1
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have
22
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through this homework assignment.
001(part1of3)10.0points
The scale on the horizontal axis is 7 s per divi-
sion and on the vertical axis 8 m per division.
0
1
2
3
4
5
6
0
1
2
3
4
5
6
7
8
9
time (
×
7 s)
position (
×
8 m)
What is the time represented by the third
tic mark on the horizontal axis?
Answer in units of s. Answer in units of s.
002(part2of3)10.0points
What is the position represented by the fourth
tic mark on the vertical axis?
Answer in units of
m. Answer in units of
m.
003(part3of3)10.0points
What is the position when
t
= 21 s?
Answer in units of
m. Answer in units of
m.
004
10.0points
The graph shows the velocity
v
as a function
of time
t
for an object moving in a straight
line.
t
v
0
t
Q
t
R
t
S
t
P
Which graph shows the corresponding dis-
placement
x
as a function of time
t
for the
same time interval?
1.
t
x
0
t
Q
t
R
t
S
t
P
2.
t
x
0
t
Q
t
R
t
S
t
P
3.
t
x
0
t
Q
t
R
t
S
t
P
4.
t
x
0
t
Q
t
R
t
S
t
P
5.
t
x
0
t
Q
t
R
t
S
t
P
6.
t
x
0
t
Q
t
R
t
S
t
P
7.
t
x
0
t
Q
t
R
t
S
t
P
8.
None of these graphs is correct.
peacock (ip6239) – Homework 2, 1d motion 23-24 – tejeda – (KayaAPHY1
1)
2
9.
t
x
0
t
Q
t
R
t
S
t
P
005(part1of2)10.0points
A runner is jogging in a straight line at a
steady
v
r
= 5
.
7 km
/
hr.
When the runner is
L
= 4
.
8 km from the finish line, a bird begins
flying straight from the runner to the finish
line at
v
b
= 17
.
1 km
/
hr (3 times as fast as
the runner). When the bird reaches the finish
line, it turns around and flies directly back to
the runner.
L
v
b
v
r
finish
line
What cumulative distance does the bird
travel?
Even though the bird is a dodo, as-
sume that it occupies only one point in space
(a “zero” length bird), travels in a straight
line, and that it can turn without loss of
speed.
Answer in units of km. Answer in units of
km.
006(part2of2)10.0points
After this first encounter, the bird then turns
around and flies from the runner back to the
finish line, turns around again and flies back
to the runner. The bird repeats the back and
forth trips until the runner reaches the finish
line.
How far does the bird travel from the be-
ginning (including the distance traveled to the
first encounter)?
Answer in units of km. Answer in units of
km.
007
10.0points
A reconnaissance plane flies 529 km away from
its base at 842 m
/
s, then flies back to its base
at 1263 m
/
s.
What is its average speed?
Answer in units of m
/
s. Answer in units of
m
/
s.
008
10.0points
Ann is driving down a street at 55 km
/
h.
Suddenly a child runs into the street.
If it takes Ann 0
.
732 s to react and apply
the brakes, how far will she have moved before
she begins to slow down?
Answer in units of
m. Answer in units of
m.
009
10.0points
The graph shows position as a function of
time for two trains running on parallel tracks.
At time
t
= 0 the position of both trains is 0
(at the origin).
position
time
t
B
B
A
Which is true?
1.
Both trains speed up all the time.
2.
Both trains have the same velocity at
some time before
t
B
.
3.
Somewhere before time
t
B
, both trains
have the same acceleration.
4.
At time
t
B
, both trains have the same
velocity.
5.
In the time interval from
t
= 0 to
t
=
t
B
,
train B covers more distance than train A.
010
10.0points
The following acceleration
vs
time plots show
data gathered from an automobile fitted with
an accelerometer. In each case the driver ac-
celerated to cruising speed and then slammed
on the brakes. In one case the car is equipped
with an antilock braking system (ABS), while
peacock (ip6239) – Homework 2, 1d motion 23-24 – tejeda – (KayaAPHY1
1)
3
in the other the car is not.
ABS tends to
prevent skidding and did just that in this ex-
periment, allowing a more rapid deceleration.
0
2
4
6
8
10
Time (seconds)
0
0
2
4
6
8
10
Time (seconds)
0
A
A
Which data set, the upper or lower, more
likely came from the car equipped with ABS,
and why?
1.
Upper case, because of data in the first
2.5 seconds
2.
Lower case, because of data between 9
and 10 seconds
3.
Lower case, because of data between 2.5
and 6.5 seconds
4.
Lower case, because of data in the first
2.5 seconds
5.
Lower case, because of data between 6.5
and 9 seconds
6.
Upper case, because of data between 9
and 10 seconds
7.
Upper case, because of data between 2.5
and 6.5 seconds
8.
Upper case, because of data between 6.5
and 9 seconds
011
10.0points
Henry hits a hockey puck in the positive
x
-direction at time,
t
≈
t
0
. The puck is then
stopped by a net starting at time,
t
≈
t
1
.
Which of the following curves could de-
scribe the acceleration of the hockey puck if
we ignore any effects of friction?
1.
t
a
t
0
t
1
2.
t
a
t
0
t
1
3.
t
a
t
0
t
1
4.
t
a
t
0
t
1
5.
t
a
t
0
t
1
6.
None of these graphs are correct.
7.
t
a
t
0
t
1
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peacock (ip6239) – Homework 2, 1d motion 23-24 – tejeda – (KayaAPHY1
1)
4
8.
t
a
t
0
t
1
9.
t
a
t
0
t
1
012
10.0points
A tennis ball with a speed of 23
.
7 m
/
s is
moving perpendicular to a wall. After striking
the wall, the ball rebounds in the opposite
direction with a speed of 12
.
3714 m
/
s.
If the ball is in contact with the wall for
0
.
0129 s, what is the average acceleration of
the ball while it is in contact with the wall?
Take “toward the wall” to be the positive
direction.
Answer in units of
m
/
s
2
. Answer in units
of m
/
s
2
.
013
10.0points
A 500-kilogram sports car accelerates uni-
formly from rest, reaching a speed of 30 me-
ters per second in 6 seconds.
What distance has the car traveled during
the 6 seconds?
1.
60 m
2.
15 m
3.
180 m
4.
30 m
5.
90 m
014(part1of2)10.0points
A car initially at rest on a straight road
accelerates according to the
accelerationvs
time
plot.
t
a
t
1
t
2
t
3
t
4
What is the best description of the motion
of the car?
Take forward to be the positive
direction.
1.
The car goes forward and then goes back-
ward, ending behind where it started.
2.
The car starts at rest, accelerates to a low
speed, comes to a stop, accelerates backwards
and cruises in reverse.
3.
The car goes forward and then goes back-
ward, ending where it started.
4.
The car starts at rest, goes up to a high
speed, stops moving, travels backward, and
stops.
5.
The car goes backward and then goes
forward.
6.
The car starts at rest, accelerates to a high
speed, cruises for a short while, decelerates to
a lower speed, then cruises.
015(part2of2)10.0points
Which of the following graphs describes the
velocity
vs
time
of the car?
1.
t
v
t
1
t
2
t
3
t
4
2.
t
v
t
1
t
2
t
3
t
4
peacock (ip6239) – Homework 2, 1d motion 23-24 – tejeda – (KayaAPHY1
1)
5
3.
t
v
t
1
t
2
t
3
t
4
4.
t
v
t
1
t
2
t
3
t
4
5.
t
v
t
1
t
2
t
3
t
4
6.
None of these graphs is correct.
7.
t
v
t
1
t
2
t
3
t
4
8.
t
v
t
1
t
2
t
3
t
4
9.
t
v
t
1
t
2
t
3
t
4
016
10.0points
You are trying to find out how high you have
to pitch a water balloon in order for it to burst
when it hits the ground.
You discover that
the balloon bursts when you have pitched it
to a height of 14 m.
With what velocity did the balloon hit
the ground?
The acceleration of gravity is
9
.
8 m
/
s
2
.
The positive direction is up, so the
velocity when it hits is negative.
Answer in units of m
/
s. Answer in units of
m
/
s.
017
10.0points
Henry has tossed a rock upward.
It has
already been released and is moving upward
at time
t
= 0, turns around at
t
1
, and hits the
ground at
t
2
.
Which of the following curves could de-
scribes the acceleration of the rock?
1.
t
a
t
1
t
2
2.
t
a
t
1
t
2
3.
t
a
t
1
t
2
4.
None of these graphs is correct.
5.
t
a
t
1
t
2
6.
t
a
t
1
t
2
7.
t
a
t
1
t
2
peacock (ip6239) – Homework 2, 1d motion 23-24 – tejeda – (KayaAPHY1
1)
6
8.
t
a
t
1
t
2
9.
t
a
t
1
t
2
018
10.0points
During a baseball game, a batter hits a high
pop-up.
If the ball remains in the air for 5
.
61 s, how
high above the point where it hits the bat
does it rise? Assume when it hits the ground
it hits at exactly the level of the bat.
The
acceleration of gravity is 9
.
8 m
/
s
2
.
Answer in units of
m. Answer in units of
m.
019
10.0points
An engineer in a locomotive sees a car stuck
on the track at a railroad crossing in front of
the train.
When the engineer first sees the
car, the locomotive is 250 m from the crossing
and its speed is 12 m
/
s.
If the engineer’s reaction time is 0
.
36 s,
what should be the magnitude of the mini-
mum deceleration to avoid an accident?
Answer in units of
m
/
s
2
. Answer in units
of m
/
s
2
.
020(part1of3)10.0points
A tennis ball is dropped from 1
.
94 m above
the ground. It rebounds to a height of 1
.
02 m.
With what velocity does it hit the ground?
The acceleration of gravity is 9
.
8 m
/
s
2
.
(Let
down be negative.)
Answer in units of m
/
s. Answer in units of
m
/
s.
021(part2of3)10.0points
With what velocity does it leave the ground?
Answer in units of m
/
s. Answer in units of
m
/
s.
022(part3of3)10.0points
If the tennis ball were in contact with the
ground for 0
.
00603 s, find the acceleration
given to the tennis ball by the ground.
Answer in units of
m
/
s
2
. Answer in units
of m
/
s
2
.
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