Uniformly Accelerated Motion for Short Distances

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SUMMARY

The discussion centers on the limitations of uniformly accelerated motion equations, specifically Vf = V0 + at, D = (1/2)(V0 + Vf)t, and D = (V0)(t) + (1/2)(a)(t²). These equations are valid under constant acceleration conditions but fail over long distances due to factors like air resistance and changing acceleration. The term "long distances" lacks a precise definition, leading to confusion about the applicability of these equations in real-world scenarios.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of constant acceleration concepts
  • Familiarity with the effects of external forces like air resistance
  • Basic grasp of motion analysis over varying distances
NEXT STEPS
  • Research the impact of air resistance on motion equations
  • Study advanced kinematic equations for non-constant acceleration
  • Explore real-world applications of uniformly accelerated motion
  • Learn about the limitations of classical mechanics in long-distance motion
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Students of physics, educators teaching kinematics, and anyone interested in the practical applications and limitations of motion equations in real-world scenarios.

GSaldutti
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Why don't these equations (and the rest in the set) work over long distances?

Vf= V0 + at
D= (1/2)(V0 + Vf)t
D= (V0)(t) + (1/2)(a)(t2)
etc...
 
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GSaldutti said:
Why don't these equations (and the rest in the set) work over long distances?

Vf= V0 + at
D= (1/2)(V0 + Vf)t
D= (V0)(t) + (1/2)(a)(t2)
etc...

Whatever gave you the idea that these do not work over long distances? How long is "long"?

Zz.
 

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