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**1. The problem statement, all variables and given/known data**

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 ??**

**2. Relevant equations**

P = m v

P

_{initial }= P

_{final}

**3. The attempt at a solution**

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

I cant figure out the what to do next

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