Data number y t t2 1 10m 4.28s 18.31s 2 20m 4.42s 16.32s 3 30m 3.78s 14.28s 4 40m 3.50s 12.25 5 50m 3.19s 10.17s 6 60m 2.86s 8.17s 7 70m 2.47s 6.10s The equation of distance as a function of time for a freely falling object is described, according to theory, by the equation: since (vi=0 , yi=0) y(t)= yi+vt*t+1/2*g*t2   Use the table for : make a plot of y(t) vs t2  , and then calculate the slope in order to find g (the acceleration due to gravity, which is  9.8 m/s2)  find Slope =  Δy / Δt2 g =

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter1: Introduction: The Nature Of Science And Physics
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Data number y t t2
1

10m

4.28s

18.31s

2

20m

4.42s

16.32s

3

30m

3.78s

14.28s

4

40m

3.50s

12.25

5

50m

3.19s

10.17s

6

60m

2.86s

8.17s

7

70m

2.47s

6.10s

The equation of distance as a function of time for a freely falling object is described, according to theory, by the equation:

since (vi=0 , yi=0)

y(t)= yi+vt*t+1/2*g*t2

 

Use the table for :

  • make a plot of y(t) vs t2  , and then calculate the slope in order to find g (the acceleration due to gravity, which is  9.8 m/s2)
  •  find Slope =  Δy / Δt2
  • g = 
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