Question

for a body moving with uniform acceleration 'a' initial and final velocities in a time interval 't' are 'u' and 'V' respectively then its average velocity in the time interval t is

Answer 1

hey friends,

◆we know that Average velocity

= {displacement }/time interval

here , displacement (s) = ut + 1/2 at^2 ---(1)

=) time (t) = t

◆average velocity = S/t

= (ut + 1/2 at^2)/t

= u + 1/2 at ---------(2)

and we can also deduse this into another equation,

=) we know that , V = u + at

=) at = v - u -----------(3)

put value of " at" in eqn (2)

◆ average velocity = u + 1/2 at

= u + 1/2 (v - u )

=) taking LCM

=( 2u + v -u )/2

=( v + u )/2

◆average velocity = (v + u )/ 2

=) This is most common formula for finding average velocity , but remember that , This formula is valid only if acceleration is constant otherwise this formula is not valid .

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hope it will help u ^_^

Answer 2

hey friends,  ◆we know that Average velocity   = {displacement }/time interval   here , displacement (s) = ut + 1/2 at^2 ---(1)  =) time (t) = t  ◆average velocity = S/t   = (ut + 1/2 at^2)/t   = u + 1/2 at ---------(2)  and we can also deduse this into another equation,  =) we know that , V = u + at   =) at = v - u -----------(3)  put value of " at" in eqn (2)  ◆ average velocity = u + 1/2 at   = u + 1/2 (v - u )   =) taking LCM   =( 2u + v -u )/2   =( v + u )/2   ◆average velocity = (v + u )/ 2   =) This is most common formula for finding average velocity , but remember that , This formula is valid only if acceleration is constant otherwise this formula is not valid .  ___________________________________________________________.   hope it will help u ^_^  Read more on Brainly.in - https://brainly.in/question/1389804#