Question

5. Prove the relation v2 - u 2 = 2aS
​

Answer 1

newtons 3rd equation of motion is v2-u2=2as

Answer 2

Answer:

v^2=u^2+2aS

Explanation:

We will use both of the equation of

to reach the third equation of

motion. This will require a bit of algebra.

s=ut+1/2at^2 and V=u+at , include the

time variant t

There will be some situations when we do

not have any information about time and

so it will be good idea to derive an

equation that doesn't have a t term.

To do this, we rearrange our first equation

to get

t=v-u/a

and use this to replace t wherever it

appears in the second equation. so

S= it+1/2at^2 becomes

S=u(v-u/a)+1/2a(v-u/q)^2

2aS=2u(v-u)+(v-u)^2

2aS=2uv-2u^2-v^2-2uv-u^2

2aS=v^2-u^2

v^2=u^2+2aS