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Curvilinear motion is the motion of an object in a curved path. This can occur in any direction, such as a circular motion or a path that is not perfectly straight.
In curvilinear motion, acceleration is calculated by finding the change in velocity over time. This is done by taking the derivative of the velocity vector with respect to time.
Tangential acceleration is the component of acceleration that is parallel to the direction of motion, while normal acceleration is the component that is perpendicular to the direction of motion. In curvilinear motion, these two components work together to determine the overall acceleration of the object.
The magnitude of acceleration in curvilinear motion can change depending on the curvature of the path. As the path becomes more curved, the magnitude of acceleration will increase. Additionally, if the speed of the object changes, the magnitude of acceleration will also change.
Some examples of curvilinear motion include a car driving around a curve, a roller coaster moving along its track, and a ball being thrown in an arc. Essentially, any time an object moves in a curved path, it is exhibiting curvilinear motion.
