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For an object moving in uniform circular motion, which of the following must be true? The object must travel with a constant velocity and a constant speed. The object must be travelling at a constant velocity. The object must be travelling at a constant speed. The object must travel with a constant acceleration.

Question

For an object moving in uniform circular motion, which of the following must be true? The object must travel with a constant velocity and a constant speed. The object must be travelling at a constant velocity. The object must be travelling at a constant speed. The object must travel with a constant acceleration.

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Solution

For an object moving in uniform circular motion, the object must be travelling at a constant speed. This is because uniform circular motion is defined as the motion of an object traveling at a constant speed on a circular path.

However, the object does not travel with a constant velocity. Velocity is a vector quantity, meaning it has both magnitude (speed) and direction. In uniform circular motion, the direction of the velocity is constantly changing (since the object is always changing its direction of motion to stay on the circular path), even though the speed (the magnitude of the velocity) is constant.

Finally, the object does not travel with a constant acceleration. The acceleration of an object in uniform circular motion is directed towards the center of the circle and its magnitude is constantly changing as the object moves around the circle. This type of acceleration is known as centripetal acceleration.

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