Calculating 2D parabolic trajectory for a projectile to hit a position

Question

I'm developing a Tower defense in 2D in Unity.

I'm trying to calculate a parabola to draw the trajectory of the projectiles fired from a tower in the game. I've got the position of the tower and the position of the enemy - now I need an algorithm that calculates a parabola that will hit the enemy.

Is there a universal algorithm or something like that for this kind of calculation?

Answer 1

Assuming gravity but no drag we have:

• 

• 

where

• x, y is displacement
• x_0, y_0 is initial location
• u_x, u_y is initial velocity
• g is acceleration due to gravity
• t is time elapsed