Answer
given,
Amplitude is doubled
A is amplitude
Doubling the Amplitude means that the object will move double positive and double negative displacement.
It will cover double distance i.e 4 A instead of 2 A.
The period will not change because it does not depend on Amplitude.
now we know,
[tex]v_{max} = A\sqrt{\dfrac{k}{m}}[/tex]
[tex]v_{max} = A\omega[/tex]
when the Amplitude is directly proportional to velocity.
If Amplitude is double, velocity will also be double.
