Question

A body is moving under uniform acceleration in a straight line. Prove that average velocity of the body is arithmetic mean of initial and final velocities of the bodies​

Answer 1

Answer:

For a body moving with a uniform acceleration, prove that its average velocity is the arithmetic mean of its initial and final velocities. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. =(u+12at)tt=ut+12at2t=st (Proved).

Answer 2

Answer:

Solution

Let u be the initial velocity of a body and a be its uniform acceleration. After time t the body acquires a velocity b (say) and s its displacement. Hence average velocity of the body =st. Again the arithmetic mean of the initial and the final velocities of the body

=u+v2=u+u+at2=u+12at

=(u+12at)tt=ut+12at2t=st (Proved)