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Can someone show me how to derive s=1/2(u+v)t?
Using the other equations of motion for constant acceleration. Can't work it out.. Thanks
1 Answer
- ?Lv 77 years agoFavorite Answer
The easiest way is this
For constant acceleration average velocity = (u+v)/2
average velocity = displacement / time
(u+v)/2 = s / t
s = ((u+v)/2)t
= ½(u+v)t
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But if you want to use other equations
v = u + at
a = (v - u)/t
s = ut + ½at²
= ut + ½ ((v - u)/t)t²
= ut + ½(v - u)t
= ut + ½vt - ½ut
= ½ut + ½vt
= ½(u+v)t
