An 7.81g bullet is fired into a 220g block that is initially at rest at the edge of a table of h = 1.15 m height.The bullet remains in the block, and after the impact the block lands d = 2.13 m from the bottom of the table. Determine the initial speed of the bullet.

how long does it take to fall 1.15m

h=1/2 g t^2 solve for t.

what was its horizontal velocity? v=2.14/timefell

now consider the conservation of momentum
bulletmomentum=bulletblockmomentum
7.81*V=(7.81+220)vhorizotalabove