IIT JEE , AIEEE Forum - Physics , Mechanics

elessar_iitkgp

As we know for constant acceleration a,

x = v₀(

t) + (1/2)a(

t)²

x /

t= v₀ + (1/2)a(

t)

v_av = = v₀ + (1/2)a(

t)

v = a(

t)

t =

v/a
Substituting the value of

t in the second term of the first equation
v_av = v₀ + (1/2)a(

v/a) = v₀ + (1/2)(v - v₀)
v_av= (1/2)(v + v₀)
As can be seen this result is derived from the results for constant acceleration.
It isn't applicable to non uniform accelerations.

Ask & Discuss Questions with Community & Experts