Suppose you have collected the set of data below by measuring the amount of time it takes for a small steel ball to fall from a height of 1.5 m to the ground.
 
Height (m)	Fall Time (s)
1.5	0.66
1.5	0.65
1.5	0.49
1.5	0.53
1.5	0.55
 
What value would you report if I asked you for the fall-time of this small steel ball from a height of 1.5 m? (Hint: It should look like 
t
±
δ
t
.)

... starting now! Suppose you have collected the set of data below by measuring the amount of time it takes for a small steel ball to fall from a height of 1.5 m to the ground.
 
Height (m)	Fall Time (s)
1.5	0.66
1.5	0.65
1.5	0.49
1.5	0.53
1.5	0.55
 
What value would you report if I asked you for the fall-time of this small steel ball from a height of 1.5 m? (Hint: It should look like 
t
±
δ
t
.)

0.55 s 
±
 0.17 s

0.66 s 
±
 0.17 s

1.5 s

0.58 s 
±
 0.09 s
Stimulus for questions at positions: 2, 3
The following text applies to the questions at positions 2, 3
Instructions for questions 2 and 3.
Using that value, calculate 
g
 using the equation 
 

y
=
1
2
g
t
2
 
Then propagate the uncertainty in 
g
, 
δ
g
.
For all numerical questions in your pre-labs, only include numbers in the answer box. Don't include the units, or use scientific notation.
Question at position 2
2
 
0.2 points 

Question 2 is unpinned. Click to pin.
 
 
Question at position 2 
What value did you find for 
g
 (in m/s2)?
What value did you find for 
g
(in m/s2)?

Question at position 3
3
 
0.2 points 

Question 3 is unpinned. Click to pin.
 
 
Question at position 3 
What value did you find for the uncertainty in 
g
, 
δ
g
 (in m/s2)?
What value did you find for the uncertainty in 
g
, 
δ
g
(in m/s2)?

Stimulus for questions at positions: 4, 5
The following text applies to the questions at positions 4, 5
Instructions for questions 4 and 5
Suppose you collected a data set in which you measured fall-times for 
different fall-heights. You plotted the data and fit the mathematical model, 

y
=
A
x
2
, to match the physical hypothesis, 
y
=
1
2
g
t
2
. From the best-fit 
curve, the value of your fit-parameter, 
A
, is 
4.6
 m/s2 
±
0.4
 m/s2. Determine 
the value of 
g
±
δ
g
 for this fit-parameter value.
Question at position 4
4
 
0.2 points 

Question 4 is unpinned. Click to pin.
 
 
Question at position 4 
What is the value of 
g
 (in m/s2) according to this fit?
What is the value of 
g
(in m/s2) according to this fit?

Question at position 5
5
 
0.2 points 

Question 5 is unpinned. Click to pin.
 
 
Question at position 5 
What is the value of 
δ
g
 (in m/s2) according to this fit.




