Find Initial Velocity of 5.5g Bullet Impacting 22.6g Block

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To find the initial velocity of a 5.5g bullet impacting a 22.6g block, the problem involves analyzing projectile motion and momentum. The bullet and block system lands 2.5m from the base of a 1.5m tall post after the collision. First, calculate the velocity of the combined bullet and block system using projectile motion equations. Then, use the final momentum of the system to determine the initial momentum, allowing for the calculation of the bullet's initial speed. This approach effectively breaks down the problem into manageable steps to solve for the unknown velocity.
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A 5.5g bullet is fired into a block of wood with a mass of 22.6g. The wood block is initially at rest on a 1.5m tall post. After the collision, the wood block and bullet land 2.5m from the base of the post. Find the initial speed of the bullet. I just need a little help on where to start. I'm confused because no velocities are given.
 
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Thats is what u have to calculate
 
Try the reverse problem assuming the velocities.

Divide the Problem into STEPS.

1)First it is a projectile motion from the given information u can calculate the velocity(Bullet +wood system)

2) now u have the final momentum(combined system) of collision so u can calculate the initial momentum
 

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