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A particle moves a distance x in time t according to equation x = (t+5)-1.The acceleration of particle is proportional to

a
(velocity)32
b
(distance)2
c
(distance)-2
d
(velocity)23

detailed solution

Correct option is A

Given, distance x = 1(t+5).......(i)Differentiating Eq.(i) w.r.t t, we get velocityv2 = dxdt = -1(t+5)2 ……(ii)Again, differentiating Eq.(ii) w.r.t t, we get accelerationa = d2xdt2= 2(t+5)3  …..(iii)Comparing Eqs. (ii) and (iii), we get (a) ∝ (v)32

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