How does a computer calculate acceleration and velocity?

AI Thread Summary
A motion detector connected to a computer collects position data every 0.05 seconds to analyze an object's motion. The user is trying to understand how the computer calculates velocity and acceleration from this data, initially considering average calculations and linear fits. However, these methods did not yield accurate results. The discussion also mentions that the motion detector uses sound waves for sensing, similar to how speed cameras utilize the Doppler effect. It is suggested that reviewing the motion sensor's manual may provide further insights into its calculations.
h_k331
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I am doing another lab report on motion. For this lab we used a motion detector connected to a computer to collect and display data about an object in motion. The question that I am having trouble with is how does the computer calculate velocity and acceleration based on the position data? (BTW the position is taken every 0.05 sec.) My initial thought was that the computer was finding the averages of veloicty and acceleration by using displacement/time and change in velocity/time. My second thought was that the computer used the best linear fit and took the slope of that line. I've tried both of these methods and neither matches up with the data. Any ideas?

Thanks,
hk
 
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Do you know the motion detector make/model? What does it use for motion sensing?
 
I don't know the make or model, I do know it uses sound waves for motion sensing.

hk
 
Im not sure about your motion detector, but speed cameras use the Doppler effect.

Google it for more info, but its what causes a car to sound different as it approaches you.
 
can you give some sample data?
 
gnpatterson said:
can you give some sample data?

Time--Position--Velocity--Acceleration
-(s)-----(m)-----(m/s)-----(m/s^2)

1.50___0.300____0.236______0.136
1.55___0.311____0.242______0.132
1.60___0.323____0.254______0.086
1.65___0.338____0.257_____-0.005
1.70___0.350____0.250_____-0.043

hk
 
I would recommend reading the manual for your particular type of motion sensor!
 
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