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Nonuniform velocity refers to the motion of an object where the speed and/or direction of the object's motion changes over time. Here are a few examples of nonuniform velocity:

  1. A car accelerating or decelerating: When a car starts from rest and gradually increases its speed, its velocity is changing nonuniformly. Similarly, when a car slows down and eventually comes to a stop, its velocity is changing nonuniformly in the opposite direction.

  2. A swinging pendulum: A pendulum's velocity varies as it swings back and forth. When the pendulum reaches its maximum displacement on one side, its velocity is momentarily zero. As it swings back through the equilibrium position, its velocity increases, reaches a maximum at the lowest point, and then decreases again.

  3. Projectile motion: When an object is launched into the air at an angle, it follows a curved path known as projectile motion. The velocity of the object changes both in magnitude and direction as it moves upward, reaches its peak height, and then falls back down.

  4. Orbiting satellites: Satellites in orbit around a planet or a celestial body experience nonuniform velocity. As they move in their elliptical or circular orbits, their velocity changes due to the varying gravitational forces and changing distances from the object they are orbiting.

  5. A roller coaster: A roller coaster provides a good example of nonuniform velocity. As the roller coaster climbs up a hill, its velocity decreases due to the opposing force of gravity. Then, as it descends the hill, its velocity increases, and it experiences changes in speed and direction throughout the ride.

These examples illustrate situations where the speed and direction of an object's motion vary, indicating nonuniform velocity.

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