Momentum and Conservation of Momentum Problem

[ilanmichaeli]

Homework Statement

hello. i tried to solve for the problem, which was quite difficult for me and I'm not sure whether i approached it correctly, so if someone will help me figure it out thank you!

the problem:
1. a 2 kg firework is shot vertically, at v=50 m/s
a. what is the velocity and momentum of the firework as it reaches a height of 50 m'?
b. in the height of 50 m' the firework explodes into two equal particles. particle 1 moves horizontally in 30 m/s.
what's the horizontal velocity of particle 2 after the explosion? what's the velocity of particle 2 and it's direction.
c. what's the kinetic energy of particle 2 when it reaches the floor?

this is my answer, explaining all the steps i took:

Homework Equations

3. The Attempt at a Solution
https://www.physicsforums.com/attachments/87789[/B]

 

[DEvens]

It's kind of hard to read your hand writing. So I didn't check it in detail.

 

[ilanmichaeli]

It's kind of hard to read your hand writing. So I didn't check it in detail.

thank you, sorry.. i tried to make it as organized as i could.. the thing that was hard for me the most was to find what's the horizontal velocity and velocity for the second particle.