JSFiddle - React, Tailwind, and code Playground

HTML

<div class="carousel-frame">
      <ul>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
        <li class="carousel-item">
          <img src="http://placehold.it/200x150" />
        </li>
      </ul>
    </div>
    <div id="speed"></div>
    <div id="scroll"></div>

CSS

.carousel-frame {
    width: 100%;
    margin-bottom: 0.5em;
    padding-bottom: 1em;
    position: relative;
    overflow-x: scroll;
    white-space: nowrap;
 }
 .carousel-frame ul {
    margin: 0;
    padding: 0;
    height: 100%;
    list-style: none;
}
.carousel-frame li.carousel-item {
    cursor: pointer;
    display: inline-block;
    margin: 0 5px 0 0;
    padding: 0;
}

JavaScript

var speed = 0;
var scroll = 0;
var container = $('.carousel-frame');
var container_w = container.width();
var max_scroll = container[0].scrollWidth - container.outerWidth();

container.on('mousemove', function(e) {
    var mouse_x = e.pageX - container.offset().left;
    var mouseperc = 100 * mouse_x / container_w;
    speed = mouseperc - 50;
}).on ( 'mouseleave', function() {
    speed = 0;
});

function updatescroll() {
		if (speed !== 0) {
    		scroll += speed / 5;
        if (scroll < 0) scroll = 0;
        if (scroll > max_scroll) scroll = max_scroll;
    		$('.carousel-frame').scrollLeft(scroll);
    }
    $("#speed").html('Speed: ' + speed);
    $("#scroll").html('Scroll: ' + scroll);
    window.requestAnimationFrame(updatescroll);
}
window.requestAnimationFrame(updatescroll);