Question

Why is your velocity continuously changing as you ride on a carousel?

Answer 1

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.

Answer 2

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.