Science, A Modified Displacement Formula for Non-Zero Displacements

Helllo there, 

I always dreamed of becoming a scientist, but I couldn't get into university. Still, I managed to modify the displacement law, which had been troubling me at zero. I hope you enjoy the modification

Introduction

The standard displacement formula, Δx=xf−xi​, can result in zero displacement when xf=xi This limitation is particularly problematic in applications such as simulations, numerical analyses, and contexts requiring continuous motion. For instance, in robotics and animation, zero displacement can cause issues with position tracking and visual continuity. To address this challenge, we propose a modified displacement formula designed to ensure non-zero displacement, which is crucial for accurate modeling and simulation.

Methodology

Redefining Initial Position:

To avoid zero displacement, we introduce a small positive constant ϵ\epsilonϵ. The modified initial position xi′ ​ is defined as:

xi′=xf+ϵ 

where ϵ is a small value, selected to be contextually appropriate. The displacement formula then becomes:

Δx′=xf−(xf+ϵ)=−ϵ

This modification ensures that the displacement Δx′ is always non-zero, thus preventing zero displacement in scenarios where continuous motion is required.

Parents
  • Now can you make F=MA work in the context of me trying to push a car with seized-on brakes?

    (Plenty of F & M not so much A)

  • F = m a

    m ≠ 0, so if there is no acceleration, a, this means the vector sum of the forces, F, is zero.

    In this case the force you apply in pushing the car is matched equally by the seized on brakes.

  • The caveat to my observation is I dropped out of school when I was in year 8. Slight smile

  • I know your feelings, i dropped the science school too.. And moved to commercial one for the same reasons Neutral face

Reply
  • I know your feelings, i dropped the science school too.. And moved to commercial one for the same reasons Neutral face

Children
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