The vertical component of the projectile motion of an object depends on which of these? initial velocity or angel of trajectory

It depends on both of them.

In fact, the projectile begins its motion with an initial velocity of  and an angle of . On the y-axis (vertical direction), it is an accelerated motion with acceleration equal to -g (gravitational acceleration). The vertical velocity of the projectile at any time t is given by

and as it can be seen, this depends on both initial velocity and angle.