A 13-kg projectile is passing through the origin O with a velocity v_0 = (35 m/s)| when it explodes into two fragments.4 and B. of mass 5 kg and 8 kg. respectively Knowing that 3 s later the position of fragment A is (90 m. 7 m. -14 m).

Determine the position of fragment B at the same instant. Assume a_y = -g = -9.81 m/s^2 and neglect air resistance.

Hint: The center of the mass moves as a single particle before and after explosion, it is driven by gravitation force, please use Newton's 2^nd law and vector to express positions. The position of fragment A: (x, y, z) = (90m, 7m, -14m).