Identify two types of motion where an object's speed remains the same while it continues to change direction.

Explanation:

Velocity is a vector with speed and direction components. If the speed does not change, then the direction must. In order to change the direction of a velocity vector, there must be some acceleration, and it must be orthogonal to the direction of motion.

Circular motion is motion that has a constant acceleration perpendicular to the direction of travel.

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Another kind of motion that meets the requirement is the motion of light. Light travels at a constant speed, regardless. If light changes direction (as in a gravitational field or when reflected), its direction will change, but its speed will not.