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Problem 1.9
The shows five points of a motion diagram.
Part A
Find the average acceleration vectors at points 1, 2, and 3. Draw the completed motion diagram showing velocity vectors and acceleration vectors.
Draw the velocity vectors starting at the black dots and the acceleration vectors including those equal to zero. The orientation of the vectors will be graded. The location and length of the velocity vectors will be graded. The location and length of the nonzero acceleration vectors will not be graded. To draw a zero vector click at the point of its location.
ANSWER:
1/15
Problem 1.10
Part A
Figure shows two dots of a motion diagram and vector . Draw the vector if the acceleration vector at dot 2 points up.
Draw the vector starting at the black dot 2. The location and orientation of the vector will be graded. The exact length of your vector will not be graded but the length relative to vector will be graded.
ANSWER:
2/15
⃗1v
⃗a ⃗2v ⃗1v
Part B
Figure shows two dots of a motion diagram and vector . Draw the vector if the acceleration vector at dot 2 points down.
Draw the vector starting at the black dot 2. The location and orientation of the vector will be graded. The exact length of your vector will not be graded but the length relative to vector will be graded.
ANSWER:
3/15
⃗1v
⃗a ⃗2v ⃗1v
Problem 1.16
A roof tile falls straight down from a twostory building. It lands in a swimming pool and settles gently to the bottom.
Part A
Select the correct complete motion diagram of the tile. ANSWER:
4/15
5/15
Problem 1.18
The figure shows the motion diagram of a drag racer. The camera took one frame every 2 .
Part A
Make a positionversustime graph for the drag racer. ANSWER:
What x vs. t Graphs Can Tell You
To describe the motion of a particle along a straight line, it is often convenient to draw a graph representing the position of the particle at different times. This type of graph is usually referred to as an x vs. t graph. To draw such a graph, choose an axis system in which time is plotted on the horizontal axis and position on the vertical axis. Then, indicate the values of at various times . Mathematically, this corresponds to plotting the variable as a function of . An example of a graph of position
6/15
txt xxt
s
as a function of time for a particle traveling along a straight line is shown below. Note that an x vs. t graph like this does not represent the path of the particle in space.
Now let's study the graph shown in the figure in more detail. Refer to this graph to answer Parts A, B, and C.
Part A
What is the total distance traveled by the particle?
Express your answer in meters.
You did not open hints for this part. ANSWER:
=
Part B
What is the average velocity of the particle over the time interval ?
Express your answer in meters per second.
You did not open hints for this part. ANSWER:
=
Part C
What is the instantaneous velocity of the particle at ?
Express your answer in meters per second.
You did not open hints for this part. ANSWER:
=
7/15
s0.01=t v
s0.05=tΔ vav
s/m v
s/m vav
m xΔ
xΔ
Another common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time is plotted on the horizontal axis and velocity on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straightline motion, however, these vectors have only one nonzero component in the direction of motion. Thus, in this problem, we will call the velocity and the acceleration, even though they are really the components of the velocity and acceleration vectors in the direction of motion.
Problem 2.2 Enhanced with Feedback
8/15
Part D
Which of the graphs shown is the correct v vs. t plot for the motion described in the previous parts?
You did not open hints for this part. ANSWER:
Graph A Graph B Graph C Graph D
Part E
This question will be shown after you complete previous question(s).
av vt
Julie drives 100 to Grandmother's house. On the way to Grandmother's, Julie drives half the distance at 36.0 and half the distance at 64.0 . On her return trip, she drives half the time at 36.0 and half the time at 64.0 .
Part A
What is Julie's average speed on the way to Grandmother's house?
Express your answer with the appropriate units.
ANSWER:
Part B
What is her average speed on the return trip?
Express your answer with the appropriate units.
ANSWER:
Problem 2.4
The figure is the positionversustime graph of a jogger.
Part A
What is the jogger’s velocity at = 10 ?
Express your answer to two significant figures and include the appropriate units.
ANSWER:
9/15
hpmhpmhpm hpm im
st
=
Part B
What is the jogger’s velocity at = 25 ?
Express your answer to two significant figures and include the appropriate units.
ANSWER:
=
Part C
What is the jogger’s velocity at = 35 ?
Express your answer to two significant figures and include the appropriate units.
ANSWER:
=
Relative Velocity vs. Time Graph Ranking Task
Two cars travel on the parallel lanes of a twolane road. The cars are at the same location at time , and move in such a way as to produce the velocity (relative to the ground) vs. time graph shown in . On the graph, one vertical block is equivalent to one velocity unit.
Part A
Rank car #1’s speed relative to the ground at the lettered times (A through E).
Rank from largest to smallest. To rank items as equivalent, overlap them.
You did not open hints for this part. ANSWER:
10/15
s0=t
st
st
v
v
v
ABCDE
Reset Help
largest smallest
The correct ranking cannot be determined.
Part B
Rank car #1’s speed relative to car #2 at the lettered times.
Rank from largest to smallest. To rank items as equivalent, overlap them.
You did not open hints for this part. ANSWER:
ABCDE
Reset Help
largest smallest
The correct ranking cannot be determined.
Part C
Rank the distance between the cars at the lettered times.
Rank from largest to smallest. To rank items as equivalent, overlap them.
You did not open hints for this part. ANSWER:
11/15
ABCDE
Reset Help
largest smallest
The correct ranking cannot be determined.
Problem 2.6 Enhanced with Feedback
A particle starts from = 21 at = 0 and moves with the velocity graph shown in .
Part A
Does this particle have a turning point? If so, at what time? ANSWER:
12/15
0t m 0x
=0
=1 =2 =3 =4
This particle has no turning point.
Part B
What is the object's position at = 2 ?
Express your answer to two significant figures and include the appropriate units.
ANSWER:
=
Part C
What is the object's position at = 4 ?
Express your answer to two significant figures and include the appropriate units.
ANSWER:
=
Problem 2.7
The following figure is a somewhat idealized graph of the velocity of blood in the ascending aorta during one beat of the heart.
13/15
st
st
st st st st st
4x
2x
Part A
Approximately how far, in , does the blood move during one beat?
Express your answer to two significant figures and include the appropriate units.
ANSWER:
=
Curved Motion Diagram
The motion diagram shown in the figure represents a pendulum released from rest at an angle of 45 in the motion diagram represent the positions of the pendulum bob at
eleven moments separated by equal time intervals. The green arrows
represent the average velocity between adjacent dots. Also given is a
"compass rose" in which directions are labeled with the letters of the alphabet.
from the vertical. The dots
Part A
What is the direction of the acceleration of the object at moment 5?
Enter the letter of the arrow with this direction from the compass rose in the figure. Type Z if the acceleration vector has zero length.
You did not open hints for this part. ANSWER:
Part B
What is the direction of the acceleration of the object at moments 0 and 10?
Enter the letters corresponding to the arrows with these directions from the compass rose in the figure, separated by commas. Type Z if the acceleration vector has zero length.
You did not open hints for this part. ANSWER:
14/15
∘
mc
l
directions at time step 0, time step 10 =
15/15

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