Question

prove second equation of motion​

Answer 1

Answer:

SECOND EQUATION OF MOTION

OR

S = Vit + 1/2at2

Explanation:

Consider a car moving on a straight road with an initial velocity equal to ‘Vi’. After an interval of time ‘t’ its velocity becomes ‘Vf’. Now first we will determine the average velocity of body.

Average velocity = (Initial velocity + final velocity)/2

OR

Vav = (Vi + Vf)/2

but Vf = Vi + at

Putting the value of Vf

Vav = (Vi + Vi + at)/2

Vav = (2Vi + at)/2

Vav = 2Vi/2 + at/2

Vav = Vi + at/2

Vav = Vi + 1/2at.......................................(i)

we know that

S = Vav x t

Putting the value of ‘Vav’

S = [Vi + 1/2at] t