fast

a – acceleration, u – initial velocity, v – final velocity, s – net displacement, t – time interval, V_avg – average velocity.

 

a = (v – u)/t

(v – u) = at

Multiply both sides by (v + u)

(v – u)(v + u) = at(v + u)

v² – u² = at(v + u),

For constant acceleration straight line motion,

V_avg = (u + v)/2 = s/t

(u + v) = 2V_avg = 2s/t

Using this result,

v² – u² = at(2s/t)

v² – u² = 2as

 

Regards,

Team,

TopperLearning.