Acceleration And Velocity Problem

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SUMMARY

The discussion centers on the confusion surrounding the equations of motion, specifically the distinction between instantaneous velocity and average velocity. The equations presented are v = u + at and S = ut + 1/2at². When initial velocity (u) is zero, the derived equations for velocity and displacement lead to discrepancies, as v = at provides instantaneous velocity, while v = S/t yields average velocity. This fundamental difference is crucial for correctly applying these equations in physics problems.

PREREQUISITES
  • Understanding of basic kinematics concepts
  • Familiarity with the equations of motion
  • Knowledge of instantaneous vs. average velocity
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the derivation of the equations of motion in detail
  • Learn about the concept of instantaneous velocity versus average velocity
  • Explore practical applications of kinematics in real-world scenarios
  • Review examples of motion problems involving different initial velocities
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Students studying physics, educators teaching kinematics, and anyone seeking to clarify concepts related to motion and velocity calculations.

varunKanpur
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I am having a problem in understanding the equation of motions.

The equation of motion are
v=u+at
S=ut +1/2at^2

Velocity= distance/ time=d/t

The problem is that if u=0 then
V=at. Equation.1

S=1/2at^2
V=S/t=1/2at not equal to equation 1

What am I doing wrong??
Thanx
 
Physics news on Phys.org
v = u + a*t gives INSTANTANEOUS velocity at time t.

But, if you use v = s/t you get the AVERAGE velocity.
 

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