Final answer:
The curved slide would be the fastest slide because it requires a centripetal force to keep the rider moving along the curve.
Step-by-step explanation:
To determine which slide would be the fastest, we need to consider the concept of centripetal force. In physics, centripetal force is the force that keeps an object moving in a curved path. When a slide has a curved path, it requires a centripetal force to keep the rider moving along the curve. The force of gravity can provide this centripetal force if the rider goes over the top of the slide at just the right speed. If the rider goes over the top faster than this speed, then an additional force is needed to provide the centripetal force. On the other hand, if the rider goes over the top slower than this speed, then the force of gravity is greater than the required centripetal force.
In the photo provided, one slide is straight and the other slide is curved. Since the curved slide requires a centripetal force to keep the rider moving along the curve, it would be the faster slide. The straight slide does not have any curved path, so it does not require a centripetal force and would not provide the same level of speed as the curved slide.