The displacement of a particle varies according to the relation x=4( t+ t) . The amplitude of the particle is

Step-by-step solution

.x=4( t+ t)=4 [ ( 2 - t ) ]+ t ]=4 [2 ( t- 2 - t 2 ) ( t - 2 + t 2 ) ]=8 [ 4 (- 4 + t ) ]= 8 2 [ t- 4 ]=4 2 [ t- 4 ] Comparing it with standard equation X=A (w t-K x) A=4 2