Assuming the variation in the position of the modeled point is due to small inaccuracies in the initial velocity values, adjustments in the initial vx (horizontal velocity) and vy (vertical velocity) values can be made to get closer to the observed motion. If the modeled point deviates in a particular direction, adjusting the corresponding velocity component can help align the model with the observed motion.
To create an Analytic Particle Model using the Tracker Help:
Select a distinct color for this measurement, such as bright blue.
Enter the mass of the snowboarder in kg, as provided in the first frame of the video.
Set the initial time to t = 0.0 since the modeling focuses on the projectile motion part of the run.
Enter the expressions developed earlier for horizontal and vertical displacements using symbols similar to those in a spreadsheet (e.g., * for multiplication, / for division, ^ for exponents).
After creating the analytic model, run the video. Given the short time intervals (0.1 seconds) and potential measurement variations of up to 10 centimeters per second, it's essential to consider the precision limitations in the recorded data. Small discrepancies in pixel measurements can lead to noticeable variations in instantaneous velocity, but this is inherent in the measurement process.