Since carousels go in circles, the
direction of travel is constantly changing and velocity is defined as constant
change. This is the reason why velocity is continuously changing when
riding a carousel for velocity is involve in change of direction.
Moreover, a change in velocity is an
acceleration and velocity has two properties that
comprises direction and magnitude. Whereas the direction of velocity is the
direction of travel and speed is the magnitude of velocity.
<span>To make this more obvious (and give it some relevance beyond being just a HW question), imagine that the ride is going super, super, duper fast. You'd better hold on tight or else you'll fly off. There's obviously a force acting on you, then, to keep you on that ride. Therefore, you are accelerating, which means your velocity is changing.</span>