Loading DocumentFormulas A
adischarge=√∑(t+1)−xst−sx
vdischarge=√∑sx
Formulas B
adischarge=√∑(t+1)−x(t+1)−xst−sx
vdischarge=√∑(t+1)−xst−sx
I simulated a mass speeding up from 0.5m/s and begins to slow down after 40s.
This graph is used to find the amount of the speed lost over time
My results for the speed lost (from simulation) suggest that the amount of speed lost after one second is approximately 4.5m/s. When testing the formulas with this scenario, I noticed that the discharge formula for velocity in formulas B, I ended up with 4.23m/s lost. While the current formula resulted in 20m/s lost. This is a significant difference in results in terms of accuracy and precision.
With further evaluation, I have decided to change the standard discharge formula for calculating velocity as a result to additional details I have noticed in the difference in accuracy between the current and alternative version.
vdischarge =√∑(t+1)−xs(t+1)−sx
The standard/foundational formula for the discharge notation has been derived as the following:
Vd=√∑f(m,s,t∣s,t)
For calculating the estimate of the discharge of a vector that has a parameter for time that is an extra second:
Vd′=2Vd×4