Answer:
The final velocity of the wooden block is equal to 
Explanation:
Given that mass of bullet =
Mass of wood = 
Initial velocity of bullet = 
Final velocity of bullet = 
Initial velocity of wood = o
Final velocity of wood = ![v_{w]](https://tex.z-dn.net/?f=v_%7Bw%5D)
Here momentum is conserved so initial momentum = final momentum
.
Upon substituting these values in above equation , we get
.
In spring mass system we know that angular frequency is given as

f = 8.38 Hz


now we know that speed of SHM at its extreme position is given by

here we know that
A = 17.5 cm


so maximum speed is 9.21 m/s