How Do You Calculate Fragment Velocities Post-Explosion in Projectile Motion?

[red123]

Homework Statement

A 4-kg projectile travels with a horizontal velocity of 600 m/s before it explodes and breaks into two fragments A and B of mass 1.5 kg and 2.5 kg, respectively. If the fragments travel along the parabolic trajectories shown, determine the magnitude of velocity of each fragment just after the explosion and the horizontal distance d_A where segment A strikes the ground at C.

Homework Equations

m_AV_A1x + m_BV_B1x = m_AV_A2x + m_BV_B2x

The Attempt at a Solution

(1.5 kg)(600 m/s) + (2.5 kg)(600 m/s) = (1.5 kg) V_A2cos(45) + (2.5 kg) V_B2cos(30)

2400 kg m/s = (1.5cos(45) kg) V_A2 + (2.5cos(30) kg) V_B2

Solving two unknowns?

 

[willem2]

If you have 2 equations that are both derived from a third one, they aren't independent. So you're stil one equation short. Try conservation of momentum in the vertical direction.