# Finding displacement from acceleration and time

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

• You have confused v = average velocity and v= final velocity. – 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 🙂.