PHYS 2111 - Expt 2 2D Motion
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Oct 30, 2023
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Motion in 2-Dimension: Projectile Motion
Objective
The purpose of this lab is to explore:
•
Trajectory of an object in motion,
•
The concept of two dimensional motion by looking at the relationship between the
vertical and horizontal motions of objects launched horizontally,
•
To study the properties of projectile motion,
Introduction
In a previous experiment we studied the motion of an object in 1-dimension. In this experiment
you will look much further into motion experiments by examining motion in two dimensions.
From Newton’s Laws of motion the displacement of an object can be obtained from the relation;
𝑑
=
𝑣
𝑜
𝑡
+
1
2
𝑎𝑡
2
(1)
Where
d
is the displacement,
𝑣
𝑜
the initial velocity,
t
the time and
ɑ
the acceleration.
Projectile motion on the other hand is a form of
motion
where an object thrown obliquely near
the earth's surface, moves along a curved path under the influence of gravity. The path is termed
the trajectory of the object. A few real life examples of projectile motion are throwing a free-
throw in a basketball game, kicking a rugby ball or even long jumping. You have probably
watched a ball roll off a table and strike the floor or seen a soccer player kicked a ball over a wall
of players into a goal.
•
What determines where the ball will land in both instances?
•
Could you predict where it will land?
In this experiment, we will use a projectile launcher to better understand the kinematics and
dynamics of projectile motion. Since measurements for these experiments involve single point
measurements of time, velocity or range, the photo-gate Timer and recording paper are the ideal
instruments for this experiment. You will use this information and your knowledge of Physics to
predict where the ball will land when it first hits the floor.
From the motion of a steel ball projected horizontally, the initial velocity of the ball can be
determined using kinetics. With a known initial velocity, the range of the projectile can be
predicted. It is also essential to note that, the initial height of the projectile affects the range,
therefore for a given initial height, the initial velocity and range would be investigated. In
addition, we will investigate the relationship between the launch angles, and the range.
The motion of a launched object of mass m with initial velocity
𝑣
𝑜
at an angle
𝜃
relative to the
horizontal can be treated easily by breaking the velocity vector down to horizontal and vertical
components. Note that the ball has only one force acting on it and that is gravity and we neglect
the effect of resistance in this lab experiment.
The easiest way to treat this is by evaluating the horizontal and vertical positions in terms of the
time (t) as two independent resultant motions using the equations of motion.
Note that for a
projectile fired horizontally i.e.
𝜽
= 0°.
Experiment:
Copy and paste the link below
https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile-motion_en.html
1.
Double click on “Intro” to open a work area like the one below
Activity I: Determining the effect of Initial Height on Range
1.
Adjust the height of the cannon launcher to a number between 4 m and 16 m by clicking
on the + sign
on the cannon to move it up or down.
2.
Record the height you set the cannon on.
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Related Questions
Hi I am looking for help with problem #4
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• A car accelerating from 0 to 60 mph.
• A bowling ball rolling to the pins.
• A hockey puck sliding on ice.
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help
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University Physics 1 - Motion in 2D & 3DI need help with this problem and a very detailed explanation of the solutions described below:
& using this - general equation of height (y). 3) eliminate t from y using first equation x=V0Cos(Degree)t 4) Plug in given values 5) equate with given equation to find x , then find y
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Use our knowledge of 1-D motion to solve the problems below.
Reference:
• a
Reminder of expectations:
• Wite your knowns
• Write the equation without numbers subbed in
• Rearrange equation for the unknown variable
• Substitute in numbers
• Solve
| Simone is travelling at 32.7 mis down the highway. She comes along to a traffic
jam, and steps lightly on the brakes for 3 seconds. If her average acceleration during this
time is -2.3mis, what is her final velocity?
1.
Hawa goes for her quarantine daily walk. She walks a total of 671 meters. From 35
meters away from her home, she walks with an average velocity of 24 mis. If she walks
with that velocity for 5.6 seconds, how far did she walk at that speed?
2.
1|Challenge Klaus walks from his house to the coner store to get some milk.
Shortly after leaving the house, he feels the urge to use the bathroom and has an
average acceleration of 0.2m/s" for the duration of his walk. If it takes 3 minutes for him
to reach the store, how far did he…
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I need the answer as soon as possible
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Task 3
As a part of your role in the motion and dynamics analysis department, you have been asked to
design a mission consists of airplane and boat. The mission target is to deliver a package by the
airplane that must be picked by the boat. You must provide two analysis steps to solve the
problem:
50 m/s
Package
Figure.2: Package of emergency supplies
Part 1
• The airplane traveling horizontally at 50 m/s
• The airplane is 150 m above the sea
9. Write the displacement vector r* as a function of time and find by calculus the acceleration
vector a".
10. Compare the acceleration vector you have got from Part.9 with the known projectile motion
values.
11. What is your student ID?
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Task 3
As a part of your role in the motion and dynamics analysis department, you have been asked to
design a mission consists of airplane and boat. The mission target is to deliver a package by the
airplane that must be picked by the boat. You must provide two analysis steps to solve the
problem:
50 m/s
Package
Figure.2: Package of emergency supplies
Part 1
• The airplane traveling horizontally at 50 m/s
• The airplane is 150 m above the sea
1. Define your reference coordinate system
2. Find the x-component of velocity after 2 sec.
3. Find the y-component of velocity after 2 sec.
4. Write the vector of velocity after 2 sec in terms of "I" and "j" components (vector
representation).
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11.
Physics 1100 TR8
class activity: one-dimensional motion and graphing
distributed August 25, 2022
Please submit one response to this activity, per group, by the end of class.
Se ha a ta e re e nos deb
Base de
A toy car moves along a straight east-west track. The position of the car is measured relative to a red
dot on the track. We consider the positive-x-direction to point east. In this one-dimensional problem, x,
Vx, and a, represent the x-components of the car's position, velocity, and acceleration vectors,
respectively. Below is a graph of x-versus-t.
1515C
x (m)
lite
2.04
1.0-
0.0
-1.0.
0.0
-2.0+
2.0 3.0 4.0 5.0 60 1.0 8.0
sastrateni siti snimated (5)
30 10.0
9.0
(b) At approximately what time(s) is the car moving toward the east?
~2,55 to 105
11.0
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"9.0 s" or "4.5 s and 9.0 s," or the answers may be intervals of time such as "between 3.5 s and 5.5 s."
(a) At approximately what…
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Question 2-8
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A train moving with constant velocity travels 150 m north in 12 s and an undetermined distance to the west. The
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• Part A
Find the direction of the train's motion relative to north.
Express your answer using two significant figures.
Temglates Symbols undo redio Teset keyboard shortcuts Help
Submit
Requeet Anawer
Part B
How far west has the train traveled in this time?
Express your answer using two significant figures.
Templates SymBols undo redo Teset keyboard shortcuts help
Submit
Requeet Anawer
Provide Feedback
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#2. A gannet is a seabird that fishes by diving from a great height. If a gannet hits the water at 32 m/s (which they do),
i) Make a sketch of the problem and label all given and unknowns
ii) Write the equations that you need to solve the problem
iii) what height did it dive from?
iv) Assume that the gannet was motionless beforestarting its dive.
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Please answer this, I need help.
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Constants
The figure(Figure 1) shows a motion diagram of a car
traveling down a street. The camera took one frame every
10 s. A distance scale is provided.
Make a position-versus-time graph for the car.
No elements selected
1400
1200
1000
800
r(m)
600
400
200
50
100
Figure
1 of 1
t(s)
Select the elements from the list and add them to the canvas setting the appropriate attributes. Press (TAB) to get to the
main menu.
1 frame every 10s
T(m)
1200
200
400
600
800
1000
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A.
1. An object moves from point A to point C along the rectangle shown in the figure below
a) Find the distance covered by the moving object
b) Find the displacement of the object
9 km
5 km
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General instructions:
In case of Multiple choice, Write the letter of your answer. In case of True or False, write T if the
statement is true and write F if the statement is False. Write all your answer in the space provided after
the number. In case of Problem Solving, write all your computations and always encircle your final
answer.
Kinematics 2: Motion in 2-Dimenstions and 3-Dimensions
1.
A passenger in a bus moving at constant velocity tosses a coin. An
observer standing at the side of the road sees the coin being tossed.
True or False?
The passenger sees the coin follows a parabolic path.
2,
A passenger in a bus moving at constant velocity tosses a coin. An
observer standing at the side of the road sees the coin being tossed.
True or False?
The outside observer sees the coin foilows a parabolic path.
3.
A passenger in a bus moving at constant velocity tosses a coin. An
observer standing at the side of the road sees the coin being tossed.
True or False?
Neither the passenger, nor…
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Projectile motion
Answer these two questions :
David has done the projectile experiment and he made the following table
Q1 : Connection between David's results and the projectile
what is the connection between David's results and abou
Lunching
angle 0
(*)
Range
Sin(20) Trial 1 sx Trial 2 sx
(m)
5.03
Range
Average
20
Range
projectile in general (what did you find ).
(m)
(m)
50
60
25
0.7660
5.00
5.015
Q2:A final conclusion of what was investigated and what wa
30
0.8660
5.66
5.69
5.675
found?
35
70
0.9396
6.19
6.15
6.17
* Launch angles and ranges for an 85 kg human cannonball,
* For the first trial :
Second trial
10
40
20
Sin20
Stn20
00 02 04 0 DA 1D 12 14 1A 20
o 02 04 06 0.8 10 12 14 16 L8 20
- His calculation was done well and he got in the both trials roughly
same velocity which is 8.091 m/s, and he got that by taking the slope
of any graph.
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hodules/items/1088224
riod
n Student Home No.
a0 Whooo's Reading
CommonLit | My As...
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Vernier app calculations are provided, please draw the acceleration, position, velocity time graphs from vernier numbers, excel sheet numbers provided, questions to answer
a) Compare and comment on the velocity vs time graph from vernier app and the excel spreadsheet
b) compare and comment on the acceleration vs time curve vs the excel spreadsheet
c) can you estimate the uncertainties for the position, velocity and acceleration
d) explain the motion of the cart based on the position, velocity and accerlation graphs
e) does your cart move with constant acceleration during any part of this experiment? when?
f) estiamte the acceleration during this portion of the experiment from the slope of the velocity-time graph. Compare your result with the average value of the acceleration determined from your acceleration-time graph. You don't need to be really presice here; a rough comparison is all that is needed
Data points from vernier are:
Time:
1) 02) 0.66666666666666663)…
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If two persons simultaneously did the following two scenarios?
• One person dropped a stone from the top of a building.
• Another person horizontally threw an identical stone from the top of the same building
(SAME HEIGHT).
.. ..
hajetile's Aath
"Panbolic Tmijeturg
A. Which will arrive the ground first?
B. Explain your answer in bullet form.
(maximum of three bullets in short phrases)
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- 20 m/e
20 m/s
change the size of iFrame to whatever dimensions you prefer.
Concept Builders
About the Concept
Builders
Version 2
Pricing For Schools
Directions for
A ball is launched upward at an angle. The
diagram at the right shows approximate
values of the horizontal and vertical velocity
Student Name
as2022@student.hudson.k12.1
Version 2
Time
vectors and values at a time of 0.0 seconds.
Measurement and
Match the three timers to three of the
4.0
Units
Vy-10 m/s
Relationships and
Graphs
provided velocity vectors. Drag to a vector
and release. Assume g = -10 m/s/s.
Trajectory - Angle Launched
Problems
Kinematics
Newton's Laws
Vectors and
Projectiles
Forces in 2-
Dimensions
Vy 30 m/s
Time
Progress Report
Vy= 10 m/s
0.0
V- 20 m/s
Vy= 20 m/s
Vy= 20 m/s
Vy =-20 m/s
Time, Time,
Time
Momentum and
Collisions
Time
2.0
Work and Energy,
Circular and Satellite
Motion
Vy = 0 m/s
Vx =0 m/s
Rotation and Balance
Static Electricity.
Electric Circuits
Waves and Sound
Light and Color
Reflection and…
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2. Complete the table below. Based on the given motions, give the distance traveled and the
object's displacement.
-5
-4
-3
-2
-1
1
4.
Motion
Distance traveled
Displacement
An object moves from point 1 to point
4 then reverses and ends at point 2.
An object moves from point 1 to point
5 then reverses to point 2.
An object moves from point 1 to point
3 then reverses to 0.
An object moves from point 3 to point
5 and then reverses to point 1.
An object moves from point 2 to point
4 and reverses to point 2.
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Situation 1
Description
1-2: Mr. Choi moves quickly from the sensor starting from the
origin in the positive direction at a steady velocity.
2-3: Mr. Choi immediately turns around and walks at half the speed
in the negative direction.
3-4: Mr. Choi then stops 1.5m in front of the sensor for 3 seconds.
Position Graph
Motion Diagram
Velocity Vectors
(velocity during each interval)
Velocity Graph
1-2:
2-3:
3-4:
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I need steps to solve this to understand it
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Example calculation
Q/ Suggest some limitation and improvement write at least 3
I will give one example calculation, using my example of Figure E2.20 above.
Task : students done in the Lab the experiment to measure the speed of the sterling engine and to
Length of pulse = 5.8 cm.
TIME/DIV = 25 ms/cm. So time t = 5.8 x 25 = 145 ms = 0.145 seconds
calculate the acceleration the actual value is 9.8 m/s^2 Why the students did not get the exact
value of a which is 9.8 ???
The length of my aluminium blank was 101 mm = 0.101 metres.
Suggest the limitation of that. And suggested improvements ( Please short answers)
2 s
2 x 0.101
0.202
So acceleration = a =
= 9.62 m/sec/sec
%3D
0.1452
0.021
Coupling
The "accepted" value for g is 9.8 m/sec/sec, so this is close to the expected result.
........
Invert
ff
Why they the students the did not got the exact values what are the limitations ?? you could pro-
vide also a small figure or diagram for explanation !!
BW Limit
ff
Probe
x 1
End of documentI
O-…
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Consider the following data for the table below:
• Distance = 101 cm
• Time of Travel (Trial 1) = 1.054 s
• Time of Travel (Trial 2) = 1.096 s
• Time of Travel (Trial 3) = 1.063 s
%3D
%3D
Newton's 2nd Law on the Acceleration of Cart
Added Mass Suspended
on the Cart (g) Mass (g)
Time of Travel (s)
Trial 3
Acceleration (m/s
Average Theoretical Experimen
Percent
Error (%)
Trial 1
Trial 2
100
1.633
(A)
(B)
Mass of the Cart (g):
Distance (em):
500
Calculate the percent error between the theoretical and
experimental acceleration of the cart in (B).
7.27%
3.77%
7.84%
7.55%
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line
Starting time (s)
Starting point (m)
Final time (s)
Final point (m)
a
0.4
0.4
4.8
3.1
b
0.4
0.4
3.8
3.1
c
1.9
3.1
5.8
0.6
d
1.4
3.1
3.8
0.3
**Please show steps and correct sig figs**
Question 1: Compare graph (a) with graph (b). Look at the slope of each graph, what does the difference between slopes tell you about velocity and speed in each experiment? (hint: the magnitude of the speed is not the same)
Question 2: Compare graph (c) with graph (d). Look at the slope of each graph, what does the difference between slopes tell you about your velocity and speed in each experiment? (hint:speed and velocity are not the same thing)
Question 3: Compare your graphs for (b) and (d). Which one has a positive slope and which one a negative one? What does this say about the direction you are moving?
ty!
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- Hi I am looking for help with problem #4arrow_forwardWhich motion that you can model as a point object and for what reasons?• A semi moving on a freeway viewed from an airplane. • A car accelerating from 0 to 60 mph. • A bowling ball rolling to the pins. • A hockey puck sliding on ice.arrow_forwardhelparrow_forward
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- Problem 1: Toss your pen abd decrible below the motion (path) you observe. problem2: Sketch the path of the pen you tossedarrow_forwardQuestion 2-8arrow_forwardA train moving with constant velocity travels 150 m north in 12 s and an undetermined distance to the west. The speed of the train is 33 m/s • Part A Find the direction of the train's motion relative to north. Express your answer using two significant figures. Temglates Symbols undo redio Teset keyboard shortcuts Help Submit Requeet Anawer Part B How far west has the train traveled in this time? Express your answer using two significant figures. Templates SymBols undo redo Teset keyboard shortcuts help Submit Requeet Anawer Provide Feedbackarrow_forward
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