A small block is attached to an ideal spring and is moving in simple harmonic

motion on a horizontal, frictionless surface. When the amplitude of the motion

is $0\mathrm{.}090$m$,$ it takes the block $2\mathrm{.}70$ s to travel from x $`0\mathrm{.}090$ to x $0\mathrm{.}090.$ If

the amplitude doubled to $0\mathrm{.}180$m$,$

$($a$)$ How long does it take the block to travel from x $`0\mathrm{.}180$m to x $$

$0\mathrm{.}180$m$?$

$($b$)$ How long does it take the block to travel from x $`0\mathrm{.}090$m to x $$

$0\mathrm{.}090$m