The displacement of a particle at the time t is given by s= 1+t , then its acceleration 'a' is proportional to

Step-by-step solution

Given s= 1+t Differentiating with respect to t , we get aligned v &= ds dt = 1 2 1+ t a &= d ² ~s dt ² = 1 2 d dt (1+ t )^ -1 2 = 1 2 (- 1 2 )(1+ t )^ -3 2 &= ( -1 4 ) ( 1 (1+ t )^ 3 2 )=-2 ( 1 [(1+ t )^ 1 2 ]³ )=-2 ( 1 2 1+ t ² )³=-2 v ³ aligned