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  • Projectile Motion: When are Velocity and Acceleration Perpendicular?
    No, there is no point along the path of a projectile where the velocity and acceleration vectors are parallel to each other. Here's why:

    * Projectile Motion: The motion of a projectile is governed by gravity, which acts vertically downwards. This means the acceleration due to gravity (g) is always pointing downwards.

    * Velocity: The velocity of a projectile has both horizontal and vertical components. The horizontal component remains constant (ignoring air resistance), while the vertical component changes due to gravity.

    At No Point are They Parallel:

    * At the highest point: The vertical component of velocity is zero, but the acceleration is still downwards due to gravity. The vectors are perpendicular.

    * During ascent: The velocity vector points upwards (positive vertical component), while the acceleration vector points downwards. They are opposite in direction.

    * During descent: The velocity vector points downwards (negative vertical component), while the acceleration vector still points downwards. They are in the same direction, but not parallel, as the velocity has a horizontal component.

    Conclusion: The velocity and acceleration vectors of a projectile are never parallel because the acceleration due to gravity is always vertical, while the projectile's velocity has both vertical and horizontal components.

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