Finding velocity of a piece after explosion

[goatz4real]

Homework Statement

A firework of mass 1 kg is placed on the ground and ignited , the impulse created by the explosion causes it to move vertically upwards,after 4 seconds a second explosion takes place in air and the horizontal impulse forces cause it to separate into 4 identical pieces

2 seconds after the 2nd explosion these 4 pieces travel horizontally in the same plane that the 2nd explosion took place and reach the vertices of a square of diagonal 80 meters

Find the horizontal velocity imparted on a piece after the 2nd explosion ??

Homework Equations

P = m v
P _initial = P _final

The Attempt at a Solution

1kg x 50 m/s = 1/4kg x (V1 + V2 + V3+ V4) m/s

I can't figure out the what to do next

 

[BvU]

Hello goatz,

Your attempt is a bit feeble by PF standards....
what are V1, V2, V3, V4 that you need four symbols ?

The original piece of fireworks moves up, the statement tells us. Where is that v in your attempt ?
Then it separates into 4 chunks that apparently fly off in a special manner. What are the parameters that describe their velocities? How do horizontal and vertical velocities develop in time ?
What do you do with the 2 seconds ?

Can you make a drawing of the sequence ?

 

[goatz4real]

Hello goatz,

Your attempt is a bit feeble by PF standards....
what are V1, V2, V3, V4 that you need four symbols ?

The original piece of fireworks moves up, the statement tells us. Where is that v in your attempt ?
Then it separates into 4 chunks that apparently fly off in a special manner. What are the parameters that describe their velocities? How do horizontal and vertical velocities develop in time ?
What do you do with the 2 seconds ?

Can you make a drawing of the sequence ?

I actually figured it out , this whole time i was trying to apply linear momentum , that`s why i was stuck. You can simply get the answer by using V=S/T

 

[BvU]

I find that hard to believe. Can you show what you did ?
[edit] never mind. I read post #1 a little better and I can follow you.