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  • Projectile Motion: Analyzing Velocity Components of a Rising Rock
    Here's how to break down the rock's velocity components as it rises:

    Understanding the Components

    * Horizontal Component (Vx): This component remains constant throughout the flight (assuming no air resistance). It's calculated as:

    Vx = V * cos(theta), where:

    * V is the initial velocity of the rock.

    * theta is the launch angle (50 degrees).

    * Vertical Component (Vy): This component changes as the rock moves upward. It's affected by gravity. At the highest point of the trajectory, Vy becomes zero for a brief moment. It's calculated as:

    Vy = V * sin(theta) - g*t, where:

    * g is the acceleration due to gravity (approximately 9.8 m/s²)

    * t is the time elapsed since the throw.

    As the Rock Rises

    * Horizontal Velocity (Vx): Stays the same, as explained above.

    * Vertical Velocity (Vy): Decreases. Gravity acts downward, slowing the upward motion of the rock.

    At the Highest Point

    * Horizontal Velocity (Vx): Remains constant.

    * Vertical Velocity (Vy): Becomes zero. The rock momentarily stops moving upward before it starts to fall back down.

    Key Points

    * Air Resistance: This explanation assumes no air resistance. In reality, air resistance would affect both components of the velocity, making the calculations more complex.

    * Projectile Motion: This is a classic example of projectile motion, where an object is launched into the air and follows a parabolic path.

    Let me know if you'd like to calculate the components of the velocity at a specific time during the flight!

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