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  • Projectile Motion: When is Acceleration Parallel to Velocity?
    No, there is no point in the projectile's parabolic path where the acceleration is parallel to the velocity. Here's why:

    * Constant Acceleration: The only force acting on the projectile is gravity, which provides a constant downward acceleration (we're ignoring air resistance).

    * Parabolic Path: The projectile's path is a parabola because the horizontal velocity remains constant while the vertical velocity changes due to gravity.

    * Velocity and Acceleration Vectors:

    * Velocity: The velocity vector always points in the direction of the projectile's motion (tangent to the parabolic path).

    * Acceleration: The acceleration vector always points straight downward due to gravity.

    Visualizing the Situation:

    Imagine a ball thrown upwards and outwards.

    * At the highest point of its trajectory, the vertical velocity is zero, but the acceleration is still downward due to gravity.

    * At all other points, the velocity vector is angled, and the acceleration vector is straight down, making them perpendicular to each other.

    Conclusion:

    Because gravity always pulls the projectile downward, the acceleration will always be perpendicular to the velocity at any point in its parabolic path.

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