Object moving with acceleration but with uniform speed
Accelerated motion with uniform speed is possible when an object changes direction while moving at a constant speed. This occurs when the object moves in a circular path at a constant speed, causing it to change direction constantly. This change in direction results in acceleration even though the speed remains the same.

Example:
One common example of an object moving with acceleration but with uniform speed is a car moving around a circular track. When a car moves around a circular track at a constant speed, it experiences centripetal acceleration towards the center of the circle. This acceleration is necessary to keep the car moving in a curved path and prevent it from moving in a straight line.

Explanation:
As the car moves in a circular path, its velocity vector is constantly changing direction, even though the speed remains constant. This change in velocity direction requires acceleration, known as centripetal acceleration, which is always directed towards the center of the circle. The magnitude of this acceleration is given by the equation a = v^2 / r, where v is the speed of the car and r is the radius of the circular track.
In this scenario, the car is moving with uniform speed (constant magnitude of velocity) but is also experiencing acceleration (change in velocity direction). Therefore, an object can move with acceleration but with uniform speed when it changes direction while maintaining a constant speed, as seen in the example of a car moving in a circular track.