The particle moves with rectilinear motion given the acceleration-displacement (a-S) curve is shown in figure, determine the velocity after the particle has traveled 30 m. If the initial velocity is 10 m/s.
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Ans. 0020
Sol. Area under curve is = 
×10 × 30 = 150 ……..(i)
Area under curve is also equal to = 
…….(ii)
From (i) and (ii)
(v 2 – u 2 ) = 150
v 2 = u 2 + 300
v 2 = (10) 2 + 300
v = 
= 20m/s.
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