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(Multiple correct option )
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Position of a particle in rectilinear motion is given by s = t³-6t²+9t
correct option for this particle are .
(a) total displacement of particle in first 5s is 20m
(b) total distance travelled by particle in first 5sec is 28m
(c) particle is moving at t = 1sec and t = 3sec
(d) acceleration of particle is constant .
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ONCE PLEASE REFER THESE TWO PHOTOS
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Answer : (a,b)
explanation:-velocity of particle is
V = ds/dt = 3t²-13t+9
= 3(t-1)(t-3)
Now , (t-1)(t-3) is positive when (t-1) and (t-3)both are positive or both are negative , i.e particle moves in positive direction when t< 1 or t>3
in interanal 1<t<3 position moves backward
so , distance travelled by particle in first 5sec = 4+4+20 = 28m
also displacement in first 5 sec = 20m
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