Doubt from SHM

Can anybody tell how to solve time taken part

After hitting find new angular frequency
Use v= w √A^2-x^2 and find A
v you can find by Conserving monentum

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Ya I got the as a amplitude

But not getting how to calculate time taken

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Do you know phasor diagram?

I only know the ones we use in alternating current

Ya ok, that's same, I mean circular projection of shm
Find the angle rotated and then you can easily find time taken