Lab 1 Freefall - Aashna Arora (1)
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Lab 1: Freefall
Physics 141
Aashna Arora
Introduction
In this lab, we explore the motion of objects in freefall. Objects in freefall, experience
constant acceleration which can be shown through the equation
. In this
? − ?
0
= −
1
2
𝑔?
2
equation
is the vertical displacement, g is the acceleration due to gravity and
is time
? − ?
0
?
in seconds. Acceleration due to gravity on Earth is approximately
. Through this
9. 81 ?/?
2
experiment we frame by frame analyze the motion of a quarter and penny falling from a height
of 0.762 meters. We obtained the quarter’s position and its time in multiple instances to then
graph on a scatter plot which was then linearized to find the acceleration due to gravity and then
compared to an accepted value - found through determining the percent error. This will allow for
us to check ourselves and see whether or not our measurements align with
.
9. 81 ?/?
2
Procedure
1.
In this experiment, a 20in x 30in grid lined poster board was used alongside an iPad
stopwatch, a penny (2.50 g), a quarter (5.67 g), and an iPhone.
2.
Prop the poster board vertically against the wall.
3.
Record a video of the poster board from a head-on angle and set up the stopwatch to be
within the recording.
4.
Hold the quarter at the top of the poster board and release it in a way where the quarter
falls down vertically and without it flipping.
5.
When the recording is complete, go frame by frame and note down the height of the
quarter for each time frame. Go from when the quarter is released to right before the
coin hits the ground.
6.
Convert the position data from inches to meters and create a data table with time as the
independent variable and the position as the dependent variable.
7.
Square the time data and create another data table using position data and
data. Take
?
2
this data and convert it into a scatter plot.
8.
Apply a linear regression to the scatter plot and record the equation of the trendline. Use
the slope of the linear regression to determine the acceleration due to gravity.
9.
Calculate the percent error by comparing the measured value to the accepted value. Use
this equation
.
??????? ????? = 100 × 𝑎???𝑎? − ??𝑎?????
|
|
𝑎???𝑎?
10. Repeat steps 3 through 5 but use both the quarter and the penny this time at the same
30in height.
11. Capture screenshots at the regular intervals to show the heights of the two coins are
always the same regardless of time. Determine if the mass of the object affects its
motion in freefall.
12. Repeat steps 3 through 5 but start the quarter at 20in. Then calculate the acceleration
due to gravity using the simplified freefall equation
and then
? − ?
0
= −
1
2
𝑔?
2
repeat step 9.
Results
Picture 1: Timestamp of frame when quarter was released.
Data Table 1: Record of the progress of the quarter down the poster board with time in seconds
in relation to position (y) in meters.
Picture 2: Both penny and quarter before being released
Picture 3: Penny and quarter at same height regardless of mass
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