Question

2. Derive following equations for a unii
accelerated motion :
(i) v = u + at
1
(ii) S = ut +
2
(iii) v2 = u2 + 2aS
at2
where the symbols have their usual meanings.​

Answer 1

Answer:

From the first equation of motion,

v=u+at

t=  a v−u ...........(i)

For a uniformly accelerated motion, Average velocity=  2 v+u ...........(ii)

Displacement=Average Velocity×Time

Substituting from (i) and (ii), s=(  2 v+u )×(  a v−u )

∴v  2 =u  2 +2as