use a least squares approach to estimate the initial velocity using the acceleration
Answers
During the acceleration phase the object's movement can be modeled with the quadratic curve
x=x0+v0t+12at2where x0 is the initial position, and v0 is the initial velocity
During the constant velocity phase, the object's movement can be modeled with the linear equation
x=x1+v1(t−t1)
where x1, v1, and t1 are the position, velocity, and time at the end of the acceleration phase.
The graph of position versus time will be similar to the image below. The red portion of the curve is the acceleration phase and the blue is the constant velocity phase.
Hello
Use a least squares approach to estimate the initial velocity using the acceleration.
- Again use a least squares approach, but now to estimate both the initial velocity and gravity.
- Quantify the uncertainty of each estimated parameter, justifying your approach.
Use MATLAB Height (mm) Time (s) Acceleration (m/s^2)
1000 0.24 9.81
2000 0.55
1500 0.3
1250 0.28
1750 0.44
750 0.14
1900 0.47
1800 0.45
1700 0.35
1600 0.34
Hope this will help you