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Starting from rest a body moves at first...

Starting from rest a body moves at first with constant acceleration a. Then it moves with a uniform velocity and finally comes to rest with a constant retardation a. If the displacement is s and time taken is t, prove that the body was in motion with uniform velocity for a time interval of `sqrt(t^(2)-4s//a).`

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CHHAYA PUBLICATION-ONE - DIMENSIONAL MOTION -Hots Numerical Problems (Based on Rectilinear Motion)
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