Question

Explain the derivation of v2=u2+2as

Answer 1

S is the distance covered by any object moving with uniform acceleration.

We can also derive it by following method:-

We know that

v=u+at

Or t=v-u/a

Distance travelled = (Average velocity) × (time)

S= (v+u)/2 × t =( (u+v)/2) . ((v-u)/a)

Or S = (v^2 - u^2)/2a

Or v^2 - u^2 = 2as

Hence, 3rd equation of motion : v^2-u^2 = 2as

V= final velocity

u = initial velocity

a = acceleration

S = Distance covered by object