Equation of motion and acceleration

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SUMMARY

The equation (vf + vi) / 2 is primarily valid for constant acceleration scenarios, as discussed in the context of kinematics. However, it can also apply in specific cases of non-constant acceleration, exemplified by the function v = At³ + B, where A and B are constants and the time interval is defined as -1 s ≤ t ≤ 1 s. This indicates that while the equation is a standard for uniform acceleration, exceptions exist under certain conditions.

PREREQUISITES
  • Understanding of kinematic equations
  • Familiarity with concepts of acceleration
  • Basic calculus for analyzing functions
  • Knowledge of polynomial functions and their properties
NEXT STEPS
  • Study the derivation of kinematic equations under constant acceleration
  • Explore non-linear motion and its mathematical representations
  • Learn about the implications of polynomial functions in physics
  • Investigate the conditions under which kinematic equations apply
USEFUL FOR

Students of physics, educators teaching kinematics, and anyone interested in the mathematical foundations of motion and acceleration.

Ali Asadullah
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How can we prove that (vf+vi)/2 is valid only for constant acceleration?? :confused:
 
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Ali Asadullah said:
How can we prove that (vf+vi)/2 is valid only for constant acceleration?? :confused:
That is not true. It can be valid for non-constant acceleration, in some cases.

Example:
v = At3 + B, -1 s ≤ t ≤ 1 s, where A and B are constants​
 

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