Q. 455.0( 2 Votes )

The space s descr

Answer :

Given:


The Distance(S) covered by a particle in time t is given by


S = t5 - 40t3 + 30t2 + 80t - 250


We know that acceleration of a particle is given by .






We need acceleration to be minimum,


We know that for maxima and minima,





t2 = 4


t = 2 ( Time cannot be negative)


Differentiating ‘a’ again,




At t = 2



>0(Minima)


We get minimum for t = 2 sec,


The corresponding acceleration at t = 2 sec is,


a = 20(2)3 - 240(2) + 60


a = 160 - 480 + 60


a = - 260


The minimum acceleration is - 260.


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