Drive the relation S=ut+½at²
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Explanation:
On any path, assume that of length S, and you take time 't' to cover that.
Initial velocity be u and final velocity by v.
Using, v = u + at
Your speed = S/t
= Average of final and initial velocity
= (v + u)/2
= (u + at + u)/2
= (2u + at)/2
= u + (1/2)at
Your speed = S/t, so
⇒ S/t = u + (1/2)at
⇒ S = ut + (1/2)at²
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