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  • Understanding Non-Uniform Circular Motion: Velocity & Acceleration
    When velocity and acceleration are not in the same direction, the motion is called non-uniform circular motion or curvilinear motion.

    Here's why:

    * Velocity: Describes the speed and direction of an object's movement.

    * Acceleration: Describes the rate of change of velocity, which can be a change in speed, direction, or both.

    Examples:

    * A car turning a corner: The car's velocity is tangent to the curve, while the acceleration is towards the center of the circle, causing the car to change direction.

    * A ball thrown upwards: As the ball goes up, velocity is upwards, but acceleration due to gravity is downwards. This causes the ball to slow down until it reaches its highest point.

    * A projectile motion: A projectile launched at an angle experiences both horizontal and vertical motion. The horizontal velocity remains constant, but the vertical velocity changes due to gravity, leading to a curved trajectory.

    Key Points:

    * Non-uniform circular motion involves changes in both speed and direction.

    * Curvilinear motion encompasses all movements that don't follow a straight line.

    * When acceleration is perpendicular to velocity, it causes a change in direction only (like in uniform circular motion).

    Let me know if you have any other questions!

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