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Jan 14

Uniformly variable curvilinear motion?

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Jan 14
Uniformly variable curvilinear motion refers to the motion of an object that is moving along a curved path with a changing velocity, but with a constant rate of change of velocity. In other words, the object is accelerating, but the acceleration is constant.

In this type of motion, the object's speed is changing at a constant rate, while its direction of motion is also changing. This can occur when an object is moving along a curved path and experiencing a constant force that causes it to accelerate.

An example of uniformly variable curvilinear motion is a car moving along a circular track at a constant speed, while continuously changing its direction. The car's velocity is changing because its direction is changing, but the rate of change of velocity (acceleration) remains constant.

Mathematically, uniformly variable curvilinear motion can be described using equations of motion that incorporate both the change in speed and the change in direction. These equations typically involve vectors and calculus to accurately describe the motion.
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