Question

Derive the equations of motion for non-

uniform motion in one dimension.​

Answer 1

a= v-u/ t

at = v-u

{at+u =v}

To Derive: s = ut + 1/2 at^2

Derivation: From First Eq. of motion, we have

v =u +at

Then,

at=v-u (By Taking u to RHS)

t= v-u/a

Substituting the above value of (t) in "Second Law of Motion", we get

s = u (v-u/a) + 1/2 a (v-u/a)^2