Question

prove the second equation of motion

Answer 1

S = ut + 1/2 at 2

Where,

S = displacement

u = initial velocity

a = acceleration (must be constant),

t = time.

This equation DOES NOT relate to final velocity.

Analytical Proof

We know that,

v = u + at

Also,

v = dSdt

‘S’ is the displacement.

Therefore, equating both,

dSdt = u + at

S∫0 dS = t∫0 (u + at) . dt

S = ut∫0 dt + a t∫0 t . dt

S = ut + 12 at2

Answer 2

hope it will help you