Analyzing Projectile Motion: Experiment, Data, and Conclusions
VerifiedAdded on 2022/08/18
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Homework Assignment
AI Summary
This assignment analyzes projectile motion using data from a puck sliding on a tilted air table. The student is tasked with creating horizontal and vertical position vs. time graphs, describing the puck's horizontal motion, and constructing a velocity vs. time graph to analyze the vertical motion. The solution includes a detailed explanation of the expected behavior of projectile motion, relating the graphical representation to the physics principles of constant horizontal velocity and the effects of gravity on vertical motion. The student concludes that the horizontal motion is consistent with projectile motion and that the vertical motion demonstrates acceleration due to gravity, as evidenced by the changing vertical velocity over time.

3/8/2020 Student Response | Pivot Interactives
https://app.pivotinteractives.com/assignments/5e5d5dbe72ba85012c581d6b/responses 1/5
Hint:
1.
Total Score: _______ / 20
Learning Objecves
Projecle Mo on
We'll get a super detailed look at projec le mo on using this slow-mo on video of a puck sliding on alted air table.
Projec le Mo on
Galileo preformed a famous experiment where he used a ball rolling on a ramp (inclined plane) to study the mo
of objects under the influence of gravity. The ramp allowed him to make more precise measurements because
ball moved more slowly along the ramp than if it were simply dropped. In effect, Galileo used the ramp to dilut
the effect of gravity so he could explore more clearly.
In this ac vity, we are going to use the same approach to study the two-dimensional mo on of objects under th
influence of gravity. This mo on is some mes called projectile motion.
The video below shows a puck on a low-fric on air table (like an "air hockey" table) which allows the puck to sli
on the surface with very low fric on. The camera is placed on the ceiling looking straight down at the air table.
the table is tilted, with the edge of the table near the top of the screen higher than the edge at the bo om. Thislt
causes the puck to move towards the bo om of the screen, but with an accelera on less than it would have if it
were simply tossed in the air. Also, the video is recorded at 240 frames per second, so we can make very preci
me measurements.
Video instance not printed.
Use this data table and graph to plot horizontal and vercal posi on vs me graphs for the mo on of the
puck.
Use 0.1 second time intervals.
https://app.pivotinteractives.com/assignments/5e5d5dbe72ba85012c581d6b/responses 1/5
Hint:
1.
Total Score: _______ / 20
Learning Objecves
Projecle Mo on
We'll get a super detailed look at projec le mo on using this slow-mo on video of a puck sliding on alted air table.
Projec le Mo on
Galileo preformed a famous experiment where he used a ball rolling on a ramp (inclined plane) to study the mo
of objects under the influence of gravity. The ramp allowed him to make more precise measurements because
ball moved more slowly along the ramp than if it were simply dropped. In effect, Galileo used the ramp to dilut
the effect of gravity so he could explore more clearly.
In this ac vity, we are going to use the same approach to study the two-dimensional mo on of objects under th
influence of gravity. This mo on is some mes called projectile motion.
The video below shows a puck on a low-fric on air table (like an "air hockey" table) which allows the puck to sli
on the surface with very low fric on. The camera is placed on the ceiling looking straight down at the air table.
the table is tilted, with the edge of the table near the top of the screen higher than the edge at the bo om. Thislt
causes the puck to move towards the bo om of the screen, but with an accelera on less than it would have if it
were simply tossed in the air. Also, the video is recorded at 240 frames per second, so we can make very preci
me measurements.
Video instance not printed.
Use this data table and graph to plot horizontal and vercal posi on vs me graphs for the mo on of the
puck.
Use 0.1 second time intervals.
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3/8/2020 Student Response | Pivot Interactives
https://app.pivotinteractives.com/assignments/5e5d5dbe72ba85012c581d6b/responses 2/5
Secs Cm Cm cm/s cm/s
1 0 15 0 -5 15
2 0.1 15 0 -10 20
3 0.2 15 1 -12.5 22.5
4 0.3 14 3 -18.5 22.5
5 0.4 13 5 -25 22.5
6 0.5 11.5 7.5 -31.5 22.5
7 0.6 9.3 9.5 -22.5 20
8 0.7 6.5 12 12.5 18
9 0.8 3 14 32 16.5
10 0.9 2 16 25 16
11 1 5.5 17.6 19.5 15.5
12 1.1 8.4 19.3 15 16
13 1.2 10.5 20.8 8.5 15.5
14 1.3 12.3 22.4 3.5 15
15 1.4 13.5 24 -0.5 15.5
16 1.5 14 25.5 -6.5 16
17 1.6 14.2 27 -12.5 17
18 1.7 13.9 28.6 -18.5 14
19 1.8 12.9 30.2 -24.5 12.5
20 1.9 11.4 32 -28.5 15
21 2 9.2 33 -23.5 13.5
22 2.1 6.5 34.5 7.5 12
23 2.2 3.5 36 31 14
24 2.3 1.8 37.2 25 15.5
25 2.4 5 38.4 19 15
26 2.5 8 40 14 15
27 2.6 10 41.5 8.5 10
28 2.7 11.8 43 5 5
29 2.8 12.8 44.5 13.6 -2.5
30 2.9 13.5 45 -5 -12.5
31 3 13.8 45.5 -10 -12.5
32 3.1 13.5 44.5 -16.5 -12.5
33 3.2 12.8 43 -20 -12.5
34 3.3 11.5 42 -25.5 -12.5
35 3.4 9.5 40.5 -25.5 -12.5
36 3.5 7.5 39.5 -27.5 -20
37 3.6 4.4 38 -2 -15
38 3.7 2 35.5 16.1 -13.2
39 3.8 4 35
40 4 6.9 34.5
Time Ver cal Posion Horizontal posion ver cal velocity Horizontal Velocity
https://app.pivotinteractives.com/assignments/5e5d5dbe72ba85012c581d6b/responses 2/5
Secs Cm Cm cm/s cm/s
1 0 15 0 -5 15
2 0.1 15 0 -10 20
3 0.2 15 1 -12.5 22.5
4 0.3 14 3 -18.5 22.5
5 0.4 13 5 -25 22.5
6 0.5 11.5 7.5 -31.5 22.5
7 0.6 9.3 9.5 -22.5 20
8 0.7 6.5 12 12.5 18
9 0.8 3 14 32 16.5
10 0.9 2 16 25 16
11 1 5.5 17.6 19.5 15.5
12 1.1 8.4 19.3 15 16
13 1.2 10.5 20.8 8.5 15.5
14 1.3 12.3 22.4 3.5 15
15 1.4 13.5 24 -0.5 15.5
16 1.5 14 25.5 -6.5 16
17 1.6 14.2 27 -12.5 17
18 1.7 13.9 28.6 -18.5 14
19 1.8 12.9 30.2 -24.5 12.5
20 1.9 11.4 32 -28.5 15
21 2 9.2 33 -23.5 13.5
22 2.1 6.5 34.5 7.5 12
23 2.2 3.5 36 31 14
24 2.3 1.8 37.2 25 15.5
25 2.4 5 38.4 19 15
26 2.5 8 40 14 15
27 2.6 10 41.5 8.5 10
28 2.7 11.8 43 5 5
29 2.8 12.8 44.5 13.6 -2.5
30 2.9 13.5 45 -5 -12.5
31 3 13.8 45.5 -10 -12.5
32 3.1 13.5 44.5 -16.5 -12.5
33 3.2 12.8 43 -20 -12.5
34 3.3 11.5 42 -25.5 -12.5
35 3.4 9.5 40.5 -25.5 -12.5
36 3.5 7.5 39.5 -27.5 -20
37 3.6 4.4 38 -2 -15
38 3.7 2 35.5 16.1 -13.2
39 3.8 4 35
40 4 6.9 34.5
Time Ver cal Posion Horizontal posion ver cal velocity Horizontal Velocity

3/8/2020 Student Response | Pivot Interactives
https://app.pivotinteractives.com/assignments/5e5d5dbe72ba85012c581d6b/responses 3/5
2.
Horizontal Axis
Time ±
Vercal Axis 1
Horizonta ±
Vercal Axis 2
Ver cal P ±
Show Origin
Linear Regression
0 1 2 3 4
0
10
20
30
40
Horizontal position / Vertical Position vs Time
Time (Secs)
Horizontal position (Cm) / Vertical Position (Cm)
Use the resulng graph to describe the horizontal mo on of the puck. Does the mo on match the expected
behavior of a "projec le"?
https://app.pivotinteractives.com/assignments/5e5d5dbe72ba85012c581d6b/responses 3/5
2.
Horizontal Axis
Time ±
Vercal Axis 1
Horizonta ±
Vercal Axis 2
Ver cal P ±
Show Origin
Linear Regression
0 1 2 3 4
0
10
20
30
40
Horizontal position / Vertical Position vs Time
Time (Secs)
Horizontal position (Cm) / Vertical Position (Cm)
Use the resulng graph to describe the horizontal mo on of the puck. Does the mo on match the expected
behavior of a "projec le"?
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3/8/2020 Student Response | Pivot Interactives
https://app.pivotinteractives.com/assignments/5e5d5dbe72ba85012c581d6b/responses 4/5
Hint:
3.
In the projec le mo on the horizontal mo on is given by the equa on
x= u*t+0.5 a*t^2 . In this equa on , u = inial velocity , t=me and a=
accelera on, and a= 0 , so, x= u*t , u is constant . So, the posion me
graph must is linear and slope gives the velocity of the projec le body.
As per the graph plo ed above the horizontal mo on of the puck
linearly increases and hence the mo on match the expected behavior of
the projec le.
Construct a velocity vsme graph. What conclusions can you reach about the vercal mo on based on
evidence from the graph?
If you are not sure how to use Pivot Interactives data table and graphing tool to make a velocity vs time g
read this knowledge-base article to learn: Making velocity vs time graphs
(https://help.pivotinteractives.com/articles/3389720-constructing-a-velocity-vs-time-graph).
The graph of vercal velocity vsme graph shows vercal mo on is
moving with accelera on due to gravity. This evidence is clear from the
fact that the velocity is not constant but decreasing with constant slope
, that means the accelera on is constantly increasing and decreasing
based on mo on of puck.
https://app.pivotinteractives.com/assignments/5e5d5dbe72ba85012c581d6b/responses 4/5
Hint:
3.
In the projec le mo on the horizontal mo on is given by the equa on
x= u*t+0.5 a*t^2 . In this equa on , u = inial velocity , t=me and a=
accelera on, and a= 0 , so, x= u*t , u is constant . So, the posion me
graph must is linear and slope gives the velocity of the projec le body.
As per the graph plo ed above the horizontal mo on of the puck
linearly increases and hence the mo on match the expected behavior of
the projec le.
Construct a velocity vsme graph. What conclusions can you reach about the vercal mo on based on
evidence from the graph?
If you are not sure how to use Pivot Interactives data table and graphing tool to make a velocity vs time g
read this knowledge-base article to learn: Making velocity vs time graphs
(https://help.pivotinteractives.com/articles/3389720-constructing-a-velocity-vs-time-graph).
The graph of vercal velocity vsme graph shows vercal mo on is
moving with accelera on due to gravity. This evidence is clear from the
fact that the velocity is not constant but decreasing with constant slope
, that means the accelera on is constantly increasing and decreasing
based on mo on of puck.
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3/8/2020 Student Response | Pivot Interactives
https://app.pivotinteractives.com/assignments/5e5d5dbe72ba85012c581d6b/responses 5/5
https://app.pivotinteractives.com/assignments/5e5d5dbe72ba85012c581d6b/responses 5/5
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