unity3d - Projectile trajectory / flight path -

i'm trying make projectile has movement behaviour shown red in diagram. know , have 2 vectors; start , end. end goal have randomness of arc @ iteration , projectile velocity change in lerp-fashion. i've done linear movement generations before, nothing this.

if question feels asking work me (my usual fear of asking questions novice coder) have tips , hints on methods/commands should into? language c# , unity version 5.6

edit # 1

after getting head-direction achieve closer end-goal function of this.

blue linear line representation of distance , angle between a(initiation point) , b(target). red arc trajectory i'm willing make projectile move as.

fortunately, figured wanted path guide projectile follow cubic bezier , got result in editor shown in diagram above a, b, moda, , modb. there few more things need working on mounting projectile follow path , control velocity , etc. following more questions couldn't through today.

first, general condition is fixed , b not. in order maintain desired flight path, figured need virtual line lineb(from moda modb) sync linea's angle , distance when b(the target) moving around in directions arc not extremely skewed, in attempts today either got wrong angle linea or moda orbited around , numbers weird angle changing in straight line movement of b a.

second have random-but-similar variety of red arc after first projectile fires , next. i'm guessing easier when past first 1 since it's matter of controlling lineb.

edit # 2

all functions asked above resolved: path generated b arc made moda , modb randomness of moda , modb @ each iteration moda , modb adjusting according b's position in real time.

now that's left make projectile follow path , control velocity till reaching b. below code generating arc-path. how should approach this?

public transform[] controlpoints = new transform[4]; public linerenderer linerenderer;  private int curvecount = 0; private int segment_count = 50;  private void drawcurve() {     (int j = 0; j < curvecount; j++)     {         (int = 1; <= segment_count; i++)         {             float t = / (float)segment_count;             int nodeindex = j * 3;             vector3 pixel = calculatecubicbezierpoint(                 t,                 controlpoints[nodeindex].position,                 controlpoints[nodeindex + 1].position,                 controlpoints[nodeindex + 2].position,                 controlpoints[nodeindex + 3].position);              linerenderer.positioncount = (((j * segment_count) + i));             linerenderer.setposition((j * segment_count) + (i - 1), pixel);         }     } }  private vector3 calculatecubicbezierpoint(float t, vector3 start, vector3 moda, vector3 modb, vector3 end) {     float u = 1 - t;     float t2 = mathf.pow(t, 2);     float u2 = mathf.pow(u, 2);     float t3 = mathf.pow(t, 3);     float u3 = mathf.pow(u, 3);      vector3 p = u3 * start;     p += 3 * u2 * t * moda;     p += 3 * u * t2 * modb;     p += t3 * end;      return p; } 

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you should use animationcurve.

you can edit "graphic curve" in inspector (public variable animationcurve) use srcipt move object along path.

using unityengine; using system.collections;  public class animationpath : monobehaviour  {     public animationcurve xcurve;      public float totaltraveltime = 5.0f;      public float travelspeed = 50.0f;      public float xrange = 10.0f;      // use initialization     void start ()      {         startcoroutine("travel");     }      ienumerator travel()     {         float elapsedtime = 0.0f;          while(elapsedtime < totaltraveltime)         {             float xpos = xcurve.evaluate(elapsedtime/totaltraveltime) * xrange;              transform.position = new vector3(xpos, transform.position.y, transform.position.z + travelspeed * -time.deltatime);              yield return null;              elapsedtime += time.deltatime;         }     } } 

i hope can you.