Find the values of y= (y max + y min )/2 and ?y= (y max – y min )/2 for each recorded time value….

Find the values of y= (ymax+
ymin)/2 and ?y= (ymax– ymin)/2 for each
recorded time value. Also find the yfitted values (yfitted is
the y value predicted from theory using the g value you obtained in Step 8.).
Using the measured data and the calculated ones, fill in your data in Table 2-1
below. Make sure that you write these values with correct number of significant
figures and along with their corresponding measurement errors.

Table
2-1

Data

t ±?t
(s)

t2 ±?t2(sec.)
(s2)

ymax
(m)

ymin
(m)

y ±?y
(m)

yfitted
(m)

0

1

2

3

4

5

6

7

8

9

9

11

12

13

14

15

DATA (CAN YOU SHOW
IN THE EXCEL ASSOCIATED WITH QUESTION/S?)

t(s)

t^2(s^2)

ymax(m)

ymin(m)

fit

0

0

0,02

-0,02

-0,05

0,033

0,001089

0,01

-0,03

-0,0549005

0,067

0,004489

-0,01

-0,04

-0,0702005

0,1

0,01

-0,05

-0,05

-0,095

0,133

0,017689

-0,1

-0,06

-0,1296005

0,167

0,027889

-0,15

-0,07

-0,1755005

0,2

0,04

-0,25

-0,08

-0,23

0,234

0,054756

-0,37

-0,09

-0,296402

0,267

0,071289

-0,46

-0,1

-0,3708005

0,3

0,09

-0,59

-0,11

-0,455

0,334

0,111556

-0,74

-0,12

-0,552002

0,367

0,134689

-0,9

-0,13

-0,6561005

  1. Using
    the data in Table 2-1, plot y versus t2 graphs on the
    linear scale. Draw the best line and worst line of y-t2 graph
    on the same graph as described in the Introduction section of the manual.
  2. In
    the space provided below report the slopes of the best (mb) and
    worst (mw) lines of the y-t2 graph with the
    correct number of significant figures.
    mb = . . . . . . . . . . m/s2
    mw = . . . . . . . . . . m/s2
  3. In
    the space provided below report the gravitational acceleration g ±?g
    values along with their errors, with the correct number of significant
    figures, obtained from the slopes of the two graphs .
    g ±?g=………………………………m/s2
  4. Plot
    yfitted versus t2, graph. (Plots must be in the
    form shown in the video) Take the picture or the print screen of the plot
    and insert it here.
  5. Comment
    on all y-t2 plots (best line , worst line, yfitted)
  6. Compare
    obtained g values and the known value of g=9.80 m/s2. Comment
    on the results (if they are not equal, what are the sources of errors?).

PART B

  1. Using
    the data in Table 2-1 calculate the average velocities Vav in
    the specified average time intervals; as explained in the video. Also
    calculate vfitted values using the g value you obtained in
    Step 5 of PART A at the time values recorded in PART A. Fill in your data
    in Table 2-2 below with correct number of significant figures.

Table
2-2

Interval

yi

(m)

yi+1

(m)

yi+1-yi

(m)

ti

(s)

ti+1

(s)

ti+1-ti

(s)

(ti+1-ti )/2

(s)

vav

(m/s)

vfitted

(m/s)

0-1

1-2

2-3

3-4

4-5

5-6

6-7

7-8

8-9

9-10

10-11

11-12

  1. Plot
    vav-t and vfitted-t graphs on the same linear scale.
    Take the picture or the print screen of the plots (graphs) and upload
    here.
  2. Comment
    on and compare the plots.
  3. From
    the slope of the vav-t variation find the gravitational acceleration g and
    report the value below.
    g= …………….m/s2

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