Question

the maximum amplitude for a forth oscillation is 2.5. what would be the maximum amplitude if the magnitude of the external periodic force and damping constant is doubled​

Answer 1

$\huge\underline\mathrm\blue{Answer}$

Maximum acceleration and maximum speed do depend on amplitude, and both of these quantities will double. The total energy equals the initial potential energy, which depends on the square of the amplitude, so that will quadruple.