prove vav=u+v/2 answer
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If the velocity were u , ( with no change) distance would be u t for a time t
If the velocity were v , ( with no change) distance would be v t for a time t ,
If the velocity changes uniformly , from u to v in a time t then the distance is
Area of rectangle ut and the area of triangle
( 1/2) ( v-u) t
Adding we get s = (u+ v)t / 2
Step-by-step explanation:
Whenever a quantity changes uniformly, the average value of the quantity is half of the sum of the initial and final value .
When velocity changes uniformly, distance is average velocity * time .
Average velocity is ( u + v)/2
So distance is ( u + v) t /2 .
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