Equation of motion and acceleration

Thread starter Ali Asadullah
Start date May 19, 2010
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Acceleration Equation of motion Motion

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The equation (vf + vi)/2 is often associated with constant acceleration, but it can also apply in specific cases of non-constant acceleration. An example provided is v = At^3 + B, valid for the time interval -1 s to 1 s, where A and B are constants. This illustrates that while the equation is primarily used for constant acceleration scenarios, it can yield valid results under certain conditions of varying acceleration. The discussion highlights the need for careful consideration of the acceleration type when applying this equation. Understanding these nuances is crucial for accurate motion analysis.

May 19, 2010

Ali Asadullah

How can we prove that (v_f+v_i)/2 is valid only for constant acceleration??

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May 19, 2010

Redbelly98

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Ali Asadullah said:

How can we prove that (v_f+v_i)/2 is valid only for constant acceleration??

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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