Question

derive the following equation for uniformly accelerated motion from velocity time graph. s=it+1/2at²
​

Answer 1

Explanation:

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