3d Projectile Interception

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In the problem, there is a projectile(1) travelling at a constant velocity parallel to the x axis at y= 10. Assuming that at Time 0, projectile 1 is initially at (0,10), If a second projectile(2) were to be fired from (0,0), at an angle [tex]\varphi[/tex] with the y axis, and at an angle [tex]\alpha[/tex] with the z axis, how can angles [tex]\varphi[/tex] and [tex]\alpha[/tex] be calculated if projectile 2 was fired at a given time(T), provided: (A) g = 10m/s^2 and (B) [tex]\angle \alpha \le[/tex]45[tex]^\circ[/tex]?

[Guest]

Also assume Projectile 2 is fired to make the fastest possible interception time.