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

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