4A_motioncSensor_videoAnalysis_Lab

https://videoanalysis.app/?key=va3nkSEVRH

1) Measurement of acceleration due to gravity from a motion detector.
What did you measure How did you measure it What were your results? What was the standard deviation of your result? 2) Measurement of acceleration due to gravity from Video Analysis. What did you measure How did you measure it What were your results? What was the standard deviation of your result? 3) Write-up on measurement variability. Find the % difference between the results of the two experiments. Do your measurements agree within the uncertainty determined from the standard deviation? What measurements have uncertainty when using the motion detector?
What measurements have uncertainty when using video analysis? Estimate the uncertainty for each of the measurements in the first and second experiments.
Use the techniques discussed today to do uncertainty propagation for your measurements. (Hint watch videos) Do the measurements agree within your estimated uncertainty?

Which of the measurements is more useful and why?

1).we measuerd the position of a small basket ball dropped to the ground at a hieght of around 1.5 M using the motion detector. the measured gravitational acceloration is -9.522m/s when we use the linear fit in the velocity to time gragh, and -9.688m/s in when we use the quadratic fit in the position to time gragh, the standard dev combinding with other resaults are 0.3184 m/s^2

 

2) i used the video analysis on my video, which i dropped my volleyvall straight down on a height offf around 1.7M, and measured the position vs the time, after that i use the same method, linear on velocity graph, with -9.735m/s measured , quadrctic fit on the position graph, and plot the number back into the position formular, : x(t)=(-5.172*2)/2 T^2+(0.7834)T+(2.415)=x(t)=1/2at^2+bt=c, which give me the value of -10.34m/s.the standard dev are :0.561m/s^2

3)the % defernce between this two experiment is -2.3% , and my measurment agreed on the uncertenty of my calculation. the these measurment have uncertenty on the motion detector a)position +- 5mm  b)velocity+-1m/s . the measurment have uncertenty on video a)position of the ball becasue of video frame rate , video resolution and screen resolution and the accuratcy of your click, human error +- 2cm b)the velocity have uncertenty becase of scale object accuratcy +- 1m/s . the uncertenty for the final calculation is +- 0.5 m/s^2 for motion detector and +- 1m/s^2 for the video, and my measurment agree with that, i thing the measurment for distance on motion detector is more useful becase it gives out more information.