Question

an object starts with initial velocity u and attains a final velocity v . the velocity is changing at a uniform rate . what is the formula for calculating average speed in this situation​

Answer 1

Given : Initial velocity = u

            final velocity = v

Let the time time interval be

the velocity is changing uniformly ⇒ the object is moving with uniform acceleration (a)

$acceleration\ (a) = \frac{v-u}{t}$

We know ,

$average speed \ ( v)_{0} = \frac{total\ distance\ travelled }{total\ time\ taken} = \frac{s}{t}$

also, for uniformly accelerated bodies we have

$s = u*t + \frac{1}{2} *a*t^2 = t(u + \frac{1}{2} *a*t)$

⇒$v_{0} = \frac{s}{t} = u + \frac{1}{2} at$

⇒$v_{0} = u + \frac{1}{2} *(\frac{v-u}{t} )*t$

⇒  $v_{0} = u + \frac{1}{2} (v-u)$

⇒ $v_{0} = \frac{v+u}{2}$

HOPE THIS HELPS YOU !!    : )

Answer 2

Answer:

here is your ans.

hope it helps