Q.3) The motion of a particle of mass m undergoing constant acceleration a in one dimension is described by 1 x = xo + t +at? and p= Po + mat. Po m Show that the transformation from present "old" variables (x, p) to initial "new" variables (xo, Po) is a canonical transformation (i) by Poisson Bracket test.? (ii) by finding (for t = 0) the type 1 generating function F(x, xo, t).?

Q.3) The motion of a particle of mass m undergoing constant acceleration a in one dimension is described by 1 x = xo + t +at? and p= Po + mat. Po m Show that the transformation from present "old" variables (x, p) to initial "new" variables (xo, Po) is a canonical transformation (i) by Poisson Bracket test.? (ii) by finding (for t = 0) the type 1 generating function F(x, xo, t).?