In the case of uniformly accelerated motion along a straight line , why do we write average velocity = (u+v)/2 , where u =initial velocity and v = final velocity .

Dear Student,

Please find below the solution to the asked query:

Average velocity is written as the ratio of the total displacement and time interval.

S=Ut+12at2So,Vavg=St=Ut+12at2t=U+12V-UttVavg=U+V2-U2=V2-U2Vavg=V-U2

 

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