Question

Derive kinematic equation of v2- v02=2as

Answer 1

Explanation:

we know that

v=u+at ............(1)

and

V=d/t. (speed=distance/time)....(2)

but speed V is average speed.so we have to find V in terms of intial velocity (u) and final velocity

(v).

V=(v+u)/2

where,v=final velocity

u=intial velocity

From equation (2)

(v+u)/2=d/t

d=(v+u)t/2.......(3)

Here d is displacement

from equation (1) we have v=u+at,substitute this in equation (3)

d=[(u+at)+u]t/2

d=[2ut+at²]/2

d=ut+1/2*at²

in place of d we can put s,as we mostly see s as displacement

S=ut+1/2*at²