This is a \"Simple free-fall\" Lab section that I am currently stuck on. We drop

Question

This is a "Simple free-fall" Lab section that I am currently stuck on.
We drop a alluminum ball from a table height onto the sensor pad on the floor and we calculated the height of the table with the sensor pad and the result came out to be 85.6cm ±.1

We dropped it 17 times

The result are:
1 .3609 sec 10 .3430 sec

2 .3729 sec 11 .3363 sec

3 .3248 sec 12 .3638 sec

4 .4080 sec 13 .4195 sec

5 .4011 sec 14 .4204 sec

6 .4090 sec 15 .4089 sec

7 .4111 sec 16 .4112 sec

8 .4165 sec 17 .3787 sec

9 .4060 sec

Determine the Average drop time(which I calculated to be .3878 sec), determine max and min % uncertainty

Determine Average gravity, detemine max and min % uncertainty

The relative uncertainty in acceleration of gravity is (g/g) =2(g/t)+(y/y)

Also what do you think human reaction time has in this experiment?

Explanation / Answer

the Average drop time = (t1 + t2 + t3 + ... + t17)/17

                                    = (.3609 + .3729 + .3248 + .. + .3787)/17

                                   =   0.388 sec

max % uncertainty = (0.388 - 0.3248)/0.388

                                = 16.3 %

min % uncertainty = (0.388 - 0.3787)/0.388

                                = 2.4 %

average gravity = (2 * 0.856)/0.3882

                          = 11.37 m/s2

min % uncertainty = (0.2/9.8)

                              = 2 %

max % uncertainty = (1.57/9.8)

                              = 16 %

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