Question

Mathematically prove that the distance travelled by the average mean of initial velocity and final velocity having constant acceleration in the direction of motion in a straight line

Answer 1

Answer:

To prove S=½(u+v)t

We know that (v=u+at)

And 2 as =v2−u2

⇒2as=(v−u)(v+u)(∴a2−b2)=(a+b)(a−b)

⇒2as=(v+u) at

2s=(v+u)t

or S=½(u+v)t

⇒(u+v)/2 is the average velocity