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  • Understanding Falling Objects: Displacement, Velocity, and Acceleration
    Here's a breakdown of what happens to displacement, velocity, and acceleration of an object falling through air, considering air resistance:

    Displacement

    * Initial: The displacement starts at zero if we consider the starting point as our reference.

    * Increasing: As the object falls, its displacement increases linearly with time.

    * Final: The final displacement is the total distance the object falls before hitting the ground.

    Velocity

    * Initial: The initial velocity is typically zero (unless the object is thrown downwards).

    * Increasing: The velocity increases rapidly at first due to gravity.

    * Terminal Velocity: However, as the object falls, air resistance increases. Eventually, the force of air resistance becomes equal in magnitude to the force of gravity. At this point, the net force on the object becomes zero, and it stops accelerating. The object reaches a constant velocity known as terminal velocity.

    * Constant: After reaching terminal velocity, the velocity remains constant.

    Acceleration

    * Initial: The initial acceleration is equal to the acceleration due to gravity (approximately 9.8 m/s²).

    * Decreasing: As air resistance builds, the net force on the object decreases, and therefore the acceleration also decreases.

    * Zero: When the object reaches terminal velocity, the net force is zero, and hence the acceleration becomes zero.

    Summary

    * Displacement: Increases linearly until impact.

    * Velocity: Increases rapidly initially, then levels off at terminal velocity.

    * Acceleration: Decreases from 9.8 m/s² to zero as terminal velocity is reached.

    Important Notes

    * Air Resistance: The amount of air resistance depends on factors like the object's shape, size, and speed. A streamlined object will experience less air resistance than a wide, flat object.

    * Terminal Velocity: Terminal velocity is not a fixed value but varies based on the object's properties and the density of the air.

    Let me know if you'd like more details on any specific aspect of this!

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