Question

please help me this question

Answer 1

Let s, u, v, a and t represent displacement, initial velocity, final velocity, acceleration and time taken repectively...

Now,
From the definition of acceleration,
a=v-u/t
at=v-u
V=u +at---------1
T=v-u/a---2

From first definition of average velocity,
Av=s/t------3

From second definition of average velocity,
Av=u+v/2-------4

Equating 1&2,

S/t=u+v/2*t
S=u+v/2*t----5
Now,
Putting value of v in eqn 4

S=u+u+at/2*t
=u+1/2at^2

Again,
Putting the value of t in eqn 5
S=u+v/2*t
S=u+v/2* v-u/a
S=v^2- u^2/2a
v^2- u^2=2as



Hence proved!!!!
Hope it helps!