The kinetic energy, K of a body performing simple harmonic motion varies with time t , is indicated in graph

Step-by-step solution

Kine tic energy of a body performing simple harmonic motion is given as K= 1 2 m v^2 where, aligned & v= d y d t = d d t a t [ y=a t] & v=a t aligned From Eq. (i), we get aligned & K= 1 2 m(a t)^2= 1 2 m a^2 ^2 ^2 t & K= 1 2 m a^2 ^2 ( 1+ 2 t 2 ) ( i ) aligned The graph represented in option (1) is correct for expression of kinetic energy represented by Eq. (i).