Projectile Motion Notes

Projectile Motion Overview

  • Definition:

    • Free-fall with an initial horizontal velocity.
    • Objects thrown or launched into the air that are subject to gravity are called projectiles.

  • Trajectory:

    • Projectiles follow parabolic paths due to the influence of gravity on their motion.

  • Key Variables:

    • Range (m): How far the projectile travels horizontally.
    • Height (m): The maximum vertical distance reached by the projectile.
    • Time (s): The duration of the projectile's flight.

Types of Projectiles

  • Various examples include:

    • Sports:
    • Three-point shot in basketball.
    • Thrown baseball.
    • Automatic basketball shooting machine.
    • Events:
    • Redbull Flugtag competition.

  • Characteristics of Projectiles:

    • Projectiles do not have engines or wings; they rely solely on gravity for their motion.

Motion of Objects Projected Horizontally and at an Angle

  • Horizontal Projection:

    • Objects projected horizontally maintain their horizontal velocity while accelerating downward due to gravity.

  • Angle Projection:

    • When projected at an angle, the object has both horizontal and vertical components of motion, resulting in a more complex trajectory.

Examples to Consider

  • Examples of Projectiles:
    • A flat rock sliding across a frozen lake - Not a projectile.
    • A falling coin from a table that slides off horizontally - Will land several meters away due to initial horizontal velocity.

Air Resistance in Projectile Motion

  • Effect of Air Resistance:
    • Air resistance acts against the motion of projectiles, slowing them down compared to an ideal case without air resistance.
    • Path without air resistance:
    • Straight parabolic trajectory.
    • Path with air resistance:
    • Flattens the trajectory, causing it to fall short of the expected distance.

Inquiry on Coin Drop

  • Scenario:
    • Two coins fall off a table at the same time.
    • One falls straight down while the other slides off horizontally.
    • Conclusion:
    • Both coins will hit the ground simultaneously as gravity pulls them equally, regardless of their horizontal motion.