How do you solve this physics problem? Help!?

[Cuteami09.com]

40 g rifle bullet traveling 430 m/s buries itself in a 4.8 kg pendulum hanging on a 2.2 m long string, which makes the pendulum swing upward in an arc. Determine the maximum vertical displacement of the pendulum (height). (g = 9.8 m/s2)

[Dhruv]

In this first we apply conservation of momentum,

M1V1=M2V2

(40/1000)kg * 430 m/s = 4.8 kg * V2

V2= 3.6 m/s.

Now applying conservation of energy,

Increase in potential energy of pendulum= decrease in kinetic energy

gh=(1/2)v^2

9.8 H = (1/2) * 12.96

H= 0.661~ 0.66 m