For a horizontal spring–mass system, the amplitude of oscillation is doubled while the mass and spring constant remain the same. Which option correctly states the resulting changes in (i) maximum speed vmax, (ii) maximum acceleration amax and (iii) total mechanical energy E?
(a) vmax doubles, amax quadruples, E quadruples
(b) vmax quadruples, amax doubles, E doubles
(c) vmax doubles, amax doubles, E quadruples
(d) vmax doubles, amax doubles, E doubles