01_1D Motion_LAB (Fall 2022 online version)
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P a g e | 1 1-D Motion
1-D Motion Introduction
The purpose of this activity is to explore plots of position and velocity vs. time. The challenge is to move a man (by choosing the correct values for position, velocity and acceleration) in such a way that
a plot of the motion ‘matches’ the graph that is provided. This is an excellent way to learn what the graphs mean.
It’s often useful to “visualize” a particle’s motion by sketching its position as a function of time. This is referred to as an x-versus-t graph
.
Figure 1. Graph of position-versus-time
An x-versus-t plot leads to a particularly useful interpretation of average velocity v
av
=
∆x
∆t
.
To connect this to the plot, the slope of a line connecting two points on an x-versus-t plot is the average velocity between those two points. The slope is the rise over the run, where the rise is the displacement and the run is the time.
Instantaneous velocity is the limit of average velocity as the time interval shrinks to zero.
lim
t→
0
∆ x
∆t
As the endpoints of the line of average velocity get closer together, they become a better indicator of the actual velocity. When the two points coincide, the line is tangent to the curve.
Just as velocity is the rate of change of displacement with time, acceleration is the rate of change of velocity with time. Thus, an object accelerates whenever its velocity changes, no matter what the change, it accelerates when its velocity increases, it accelerates when its velocity decreases. a
av
=
∆v
∆t
1
The instantaneous acceleration is defined as: a
=
lim
∆t →
0
∆ v
∆t
The average acceleration in a v-versus-t plot is the slope of a straight-line connecting points corresponding to two different times. Similarly, the instantaneous acceleration is the slope of the tangent line at a particular time.
The position vs. time graphs for the two types of motion constant velocity and changing velocity (acceleration) are depicted as follows.
Figure 2. graphs of constant velocity and changing velocity
Procedure
1. Install the Java software in your computer. The following link provides the versions of Java for different operating systems: https://www.java.com/en/download/manual.jsp
2. Access the Moving Man PHET Simulation (Select the CheerpJ Browser-compatible version): The Moving Man - Position | Velocity | Acceleration - PhET Interactive Simulations (colorado.edu)
2
P a g e | 3 1-D Motion
Graph Matching
1.
On each of the following pages, there is a graph you will try to match. The first three are position graphs, and the next four are velocity graphs. 2.
Click on the chart. There are three graphs of x-t, v-t and a-t. By adjusting the position, velocity and acceleration you can match the graphs. When you play the simulation, the graphs will be generated. You need to print screen your graphs and attach it to your lab report. This website has the instruction on how to print screen. https://www.take-a-screenshot.org/wsindows.html
Figure 3. Phet simulation
3.
Try to match the first graph by setting the variables of position, velocity and acceleration. Think about where the man should stand initially (position) and how he should move to 3
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Related Questions
1. Is it necessary to memorize the 5 kinematical equations for straight line motion? Explain.
2. Why is it necessary to draw the diagram in solving worded problems for straight line motion? Explain.
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You measure the motion of a dynamics cart using a motion sensor. You then plot the cart’s position vs. time and velocity vs. time. The best way of finding the average acceleration of the cart is to find:
a. the y-intercept of the position vs. time plot.
b. the y-intercept of the velocity vs. time plot.
c. the slope of the position vs. time plot
d. the slope of the velocity vs. time plot.
e. none of the above
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The position of an object as a function of time is given by the equation: x (t)=3t^3 - 4t^2 + 3 (position x is in meters and time t is in seconds)
a.) Determine the object’s speed at time, t = 3 seconds.b.) Determine the object’s acceleration at time, t = 3 seconds.
I also attached a picture of the problem that is easier to read.
Thank you for your help.
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I Review I Constants
A particle moving along the x-axis has its velocity described
by the function vr =
2t m/s, where t is in s. Its initial
position is xo = 2.4 m at to = 0 s .
Part A
You may want to review (Pages 55 - 56) .
Part B
At 2.2 s , what is the particle's velocity?
Express your answer with the appropriate units.
HÅ
?
V =
Value
Units
Submit
Request Answer
arrow_forward
2. What is the motion function x(t) of the runner? Hint: x(t) = (slope) t + intercept .
x(t) =
3. What is the rate-of-change (derivative) of x(t) ?
dx/dt =
4. What is the velocity of the runner ?
Exercise
A runner is running at a "steady pace". The following picture shows the location of the runner at
five different readings of a stopwatch.
0.0 s
10 s
25 s
50 s
30 m
50 m
90 m
130 m
1. Plot the five "events" (t,x) and draw the worldline of the runner on the spacetime diagram:
140 -
120 -
100 –
X (m) 80 -
60 -
40 –
20-
t(s)
10
20
30
40
50
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From part a b c d e f and g can you explain that The graph at right is of the motion of two children, Ariel and ВуRon , who are moving along a straight hallway. The vertical axis
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B. Directions: Show your solution to the following problems.
The position vs. time graph below describes the motion of a runner.
z (m)
3
t (s)
t (s)
3
1. What is the magnitude of the velocity of the runner during the first 4 seconds?
2. What is the velocity of the athlete from t=4 s to 7 s?
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Please Help!
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A bird can fly 24 km/h .
Part A
How long does it take to fly 3.6 km?
Express your answer using two significant figures.
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One question that contains part 1 and part 2
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Please Help!
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e
Learning Activities
Last time, you have learned how to determine if an object is moving or not.
For this module, you will learn how motion can be visualized or illustrated using
tape charts and motion graphs. To help you get ready, perform the task
below:
070
by 1
Read and analyze the following
statements and get ready to answer
the questions listed below:
A jeepney is moving at a rate of 45
kilometers within 0.50 hour before it
stops at a red light. After 5 minutes
the vehicle moves again, but this
time it initially moves at a rate of 15
kilometers for 15 minutes which then
increased to 35 kilometers after
another 15 minutes. The jeepney
then continued to move at the
same speed until it reaches another
Qalloisleseb
stop.
1.
"23930 (263) 21-09-1993 Jeepney DKU-464 and Baliwag
Transit Inc Hino RF NVT-923 (fleet No 2016) in J. Abad Santos
near Solls Street. Tondo, Manila,
Philippines." by express000 is licensed under CC BY-NC-SA 2.0
wepo know?
in the same. Heweld yo
lowe
4. At which…
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A particle at t1 = -5.4 s is at 1 = 3.7 cm and at t2
= 3.5 s is at æ2 = 6.9 cm.
%3D
Constants P
%3D
Part A
What is its average velocity?
Express your answer using two significant figures.
U =
cm/s
Submit
Request Answer
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Hi!
Please help with a-c.
Thank you in advance
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The motion of a particle is described by the position function s(t) = t^3-15t^2 + 63t, t>0 where t is measured in seconds and s in meters.a. When is the particle at rest?b. When is the particle moving in a positive direction?c. Draw a diagram to illustrate the motion of the particle for the first 10seconds.
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An objects position, x, as a function of time, t, is given by the following function:
x(t) = At + Bt2 - Ct3
What are the units of each of the quantities A, B, and C?
a. m, m, m
b) m, s, s
c) s, s2, s3
d) M, m/s, m/s2
e) m/s, m/s2, m/s3
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Q.1) a) By looking Figure 1, how can we say about velocity change with respect to time for
every point (a, b, c, d, e)? Which point has the biggest instantaneous velocity? You should
show the reason why you are using any parameter in the calculations.
b.
Time t
Figure 1
Position x
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Complete Solutions
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A) Draw the sketch of this problem.
B) State the theory that describes the motion.
C) Write the Kinematics projectile equations with the correct numbers.
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ex
intos Learning Activities
Last time, you have learned how to determine if an object is moving or not.
For this module, you will learn how motion can be visualized or illustrated using
tape charts and motion graphs. To help you get ready, perform the task
below:
by 1
Read and analyze the following
statements and get ready to answer
the questions listed below:
A jeepney is moving at a rate of 45
kilometers within 0.50 hour before it
stops at a red light. After 5 minutes
the vehicle moves again, but this
time it initially moves at a rate of 15
kilometers for 15 minutes which then
increased to 35 kilometers after
another 15 minutes. The jeepney
then continued to move at the
same speed until it reaches another
stop.
LAM
ni of 1.
2.
BOLA
TENIMELDA
"23930 (263) 21-09-1993 Jeepney DKU-464 and Baliwag
Transit Inc Hino RF NVT-923 (fleet No 2016) in J. Abad Santos
near Solis Street, Tondo, Manila.
Philippines." by express000 is licensed under CC BY-NC-SA 2.0
How would you describe the motion…
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A rock is tossed straight up from the ground with a speed of 16 m/s. When it
returns, it falls into a hole 10 m deep.
For help with math skills, you may want to review: Quadratic Equations
For general problem-solving tips and strategies for this topic, you may want to view
a Video Tutor Solution of Time in the air for a tossed ball.
Part A
What is the rock's speed as it hits the bottom of the hole?
Express your answer with the appropriate units.
View Available Hint(s)
V =
Submit
Part B
μᾶ
t =
Value
How long is the rock in the air, from the instant it is released until it hits the bottom of the hole?
Express your answer with the appropriate units.
► View Available Hint(s)
μA
Units
Value
?
Units
?
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A. Answer the following questions correctly.
1. Can a displacement from one point to another be zero, yet the distance involved in moving these points be
non-zero? Can the distance between two points be zero, yet the displacement from one point to the other be
non-zero? Explain.
Can the velocity of an object be in different direction than the acceleration? Give example.
Explain how a body moves with (a) uniform motion, and (b) uniformly accelerated motion.
Is it possible for a body to accelerate when its velocity is constant? Explain.
4.
5. If an object has a greater speed, does it necessarily have a greater acceleration? Explain using examples.
2.
3.
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8
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Name:
Per:
Date:
1. Marnie begins walking at 1.0 m/s, then starts running at 5.0 m/s. Her maximum acceleration is
2.0 m/s.
a. Calculate how much time it takes Marnie to go from walking to running.
a
a 3D
t3D
Ax =
VI=
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Solve the problems of motion in one dimension.
1. The car stops at the traffic light. It then moves along a straight path so that its distance
from the light is given by x(t) = bt? - ct, where b = 2.40 and c = 0.120 a) Determine
the car's instantaneous velocity at t = 5s and t = 10s. b) How long after starting from rest is
the car again at rest.
A LL
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Please
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Review I Constants I Periodic Ta
A runner wants to run 13.0 km. She knows that
her running pace is 7.9 mi/h.
Part A
How many minutes must she run? Hint: Use 7.9 mi/h as a conversion factor between distance and time.
Express your answer using two significant figures.
t =
min
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Related Questions
- 1. Is it necessary to memorize the 5 kinematical equations for straight line motion? Explain. 2. Why is it necessary to draw the diagram in solving worded problems for straight line motion? Explain.arrow_forwardYou measure the motion of a dynamics cart using a motion sensor. You then plot the cart’s position vs. time and velocity vs. time. The best way of finding the average acceleration of the cart is to find: a. the y-intercept of the position vs. time plot. b. the y-intercept of the velocity vs. time plot. c. the slope of the position vs. time plot d. the slope of the velocity vs. time plot. e. none of the abovearrow_forwardThe position of an object as a function of time is given by the equation: x (t)=3t^3 - 4t^2 + 3 (position x is in meters and time t is in seconds) a.) Determine the object’s speed at time, t = 3 seconds.b.) Determine the object’s acceleration at time, t = 3 seconds. I also attached a picture of the problem that is easier to read. Thank you for your help.arrow_forward
- I Review I Constants A particle moving along the x-axis has its velocity described by the function vr = 2t m/s, where t is in s. Its initial position is xo = 2.4 m at to = 0 s . Part A You may want to review (Pages 55 - 56) . Part B At 2.2 s , what is the particle's velocity? Express your answer with the appropriate units. HÅ ? V = Value Units Submit Request Answerarrow_forward2. What is the motion function x(t) of the runner? Hint: x(t) = (slope) t + intercept . x(t) = 3. What is the rate-of-change (derivative) of x(t) ? dx/dt = 4. What is the velocity of the runner ? Exercise A runner is running at a "steady pace". The following picture shows the location of the runner at five different readings of a stopwatch. 0.0 s 10 s 25 s 50 s 30 m 50 m 90 m 130 m 1. Plot the five "events" (t,x) and draw the worldline of the runner on the spacetime diagram: 140 - 120 - 100 – X (m) 80 - 60 - 40 – 20- t(s) 10 20 30 40 50arrow_forwardFrom part a b c d e f and g can you explain that The graph at right is of the motion of two children, Ariel and ВуRon , who are moving along a straight hallway. The vertical axisarrow_forward
- B. Directions: Show your solution to the following problems. The position vs. time graph below describes the motion of a runner. z (m) 3 t (s) t (s) 3 1. What is the magnitude of the velocity of the runner during the first 4 seconds? 2. What is the velocity of the athlete from t=4 s to 7 s?arrow_forwardPlease Help!arrow_forwardA bird can fly 24 km/h . Part A How long does it take to fly 3.6 km? Express your answer using two significant figures.arrow_forward
- One question that contains part 1 and part 2arrow_forwardPlease Help!arrow_forwarde Learning Activities Last time, you have learned how to determine if an object is moving or not. For this module, you will learn how motion can be visualized or illustrated using tape charts and motion graphs. To help you get ready, perform the task below: 070 by 1 Read and analyze the following statements and get ready to answer the questions listed below: A jeepney is moving at a rate of 45 kilometers within 0.50 hour before it stops at a red light. After 5 minutes the vehicle moves again, but this time it initially moves at a rate of 15 kilometers for 15 minutes which then increased to 35 kilometers after another 15 minutes. The jeepney then continued to move at the same speed until it reaches another Qalloisleseb stop. 1. "23930 (263) 21-09-1993 Jeepney DKU-464 and Baliwag Transit Inc Hino RF NVT-923 (fleet No 2016) in J. Abad Santos near Solls Street. Tondo, Manila, Philippines." by express000 is licensed under CC BY-NC-SA 2.0 wepo know? in the same. Heweld yo lowe 4. At which…arrow_forward
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SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning