Ball bounces along a parabolic trajectory

The question was initiated by a topic

In that question, the bounces were vertical

<svg id="svg1" version="1.1" xmlns="http://www.w3.org/2000/svg" 
    xmlns:xlink="http://www.w3.org/1999/xlink"
       width="200" height="200" viewBox="0 0 200 200" preserveAspectRatio="xMinYMin meet" style="border:1px solid" >  
 
<image xlink:href="https://i.stack.imgur.com/hXyA5.png" x="82" width="25px" height="25px" >
   <animateTransform id="anT"
     attributeName="transform"
     type="translate"
     dur="3s"
     begin="svg1.click+0.5s;anT.end+1s"
     values="
        0,0;
        0,168;
        0,84;
        0,168;
        0,126;
        0,168;
        0,148;
        0,168;
        0,158;
        0,168;
        0,163;
        0,168;
        0,166;
        0,168;
        "
        keyTimes="0;0.066;0.13;0.198;0.264;0.33;0.396;0.462;0.528;0.594;0.66;0.726;0.792;1"
        repeatCount="1"
        fill="freeze"
        restart="whenNotActive" />
</image>
   <polyline points="5,193 194,193" stroke="silver" stroke-width="4" />
 </svg>  

This question concerns bounces with different amounts of offset in height and length

But it is difficult to realize the unevenness of movement and speed.

How to implement realistic parabolic ball movement?

Any idea and solution would be appreciated.

Answer

I allowed for this behaviour in my previous answer (in the linked question). Just set dx to a non-zero value.

ball = {x: 82, y: 0, dx: 1, dy: 0};

• x and y are the starting position of the ball
• dx and dy are the initial velocity of the ball

let ballElem = document.getElementById("ball");

let GRAVITY = 40;        // Acceleration due to gravity (pixels / sec /sec)
let FLOOR_Y = 200 - 25;  // Y coord of floor. The 25 here is because ball.y is the top of the ball.
let BOUNCINESS = 0.8;    // Velocity retained after a bounce
let LIMIT = 0.1;         // Minimum velocity required to keep animation running
let ball = {};
let lastFrameTime = null;

ballElem.addEventListener("click", startAnim);


function startAnim()
{
  ball = {x: 82, y: 0, dx: 1, dy: 0};
  lastFrameTime = null;
  requestAnimationFrame(animStep);
}


function animStep(timestamp)
{
  if (lastFrameTime === null)
    lastFrameTime = timestamp;
  // Milliseconds elapsed since last step
  const elapsed = timestamp - lastFrameTime;
  lastFrameTime = timestamp;
  
  ball.dy += GRAVITY * elapsed / 1000;
  ball.y += ball.dy;
  ball.x += ball.dx;   // not really used in this example

  if (ball.y > FLOOR_Y) {
    // Step has taken us below the floor, so we need to rebound the ball.
    ball.y -= (ball.y - FLOOR_Y);
    ball.dy = -ball.dy * BOUNCINESS;
  }
  
  // Update the <image> element x and y
  ballElem.x.baseVal.value = ball.x;
  ballElem.y.baseVal.value = ball.y;
  
  // Request another animation step
  if (Math.abs(ball.y - FLOOR_Y) > LIMIT ||  // Not on ground
      Math.abs(ball.dy) > LIMIT ||           // or still moving
      Math.abs(ball.dx) > LIMIT) {
    requestAnimationFrame(animStep);
  }
}

<svg id="svg1" 
     width="200" height="200" viewBox="0 0 200 200" preserveAspectRatio="xMinYMin meet" style="border:1px solid" >  
 
  <image id="ball" xlink:href="https://i.stack.imgur.com/hXyA5.png" x="82" width="25px" height="25px"/>
 
</svg>