Can someone open my eyes my disproving the formula that I arrived. I understand it is wrong but where exactly is the mistake? enter image description here

  • $\begingroup$ You have confused v = average velocity and v= final velocity. $\endgroup$ – Peter Sep 9 '20 at 12:33

Velocity is defined as displacement per unit time. But when the motion is accelerated one then you can't directly apply

$displacement = (velocity )(time)$

The above formula is applicable only when the motion is uniform for the given time i.e. your velocity remains the same in that given time.

But for an accelerated motion ( i.e. velocity is not uniform ) the formula for displacement becomes

$s =ut + \frac{1}{2} at^2$ .

So using $s ={v}{t} $ or

$v=\frac{s}{t}$. for an accelerated motion was your mistake.

Hope it helps 🙂.


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