Free Fall Physics Concepts

Free Fall Concepts

  • Definition: An object in free fall is influenced only by gravity, experiencing acceleration downward.

  • Initial Velocity: The initial velocity ($v_0$) of a dropped object is $0 ext{ m/s}$.

  • Acceleration: Constant acceleration due to gravity ($g = -10 ext{ m/s}^2$).

  • Speed Gain: An object gains $10 ext{ m/s}$ every second in free fall.

  • Calculating Velocity: Use the formula: v = v_0 + gt

    • After $t$ seconds, velocity can be determined if dropped or thrown upward/downward.

  • Top of Trajectory: At the highest point of a projectile's motion, velocity is $0 ext{ m/s}$, but acceleration remains $g = -10 ext{ m/s}^2$.

  • Motion Description: An object thrown straight up:

    • Increases speed upwards, reaches maximum height, then decreases speed until return to starting point.

    • Displacement and total air time can be calculated with $d = v_0 t + rac{1}{2}gt^2$.

Important Equations

  • Distance: d = v_0t + rac{1}{2}gt^2

  • Velocity Calculation: v = v_0 + gt

    • Time to fall a distance: t = rac{V}{g}

Key Points for Review

  • An object dropped has constant acceleration downward.

  • An object must be at rest or thrown to analyze motion effectively.

  • A dropped object will hit the ground faster due to acceleration of gravity.

  • Time and displacement in free-fall situations can be calculated if initial conditions are known.

G is always -10

To calculate the displacement (d) at any time (t) for an object in free fall (where air resistance is negligible), you can use the following formula:

d = v_0t + \frac{1}{2}gt^2

  • d: Represents the vertical displacement of the object from its initial position.

  • v_0: Is the initial velocity of the object.

    • If the object is dropped, its initial velocity (v_0) is 0 \text{ m/s}.

    • If the object is thrown, v_0 will be the initial velocity at which it was thrown (positive if thrown upwards, negative if thrown downwards).

  • t: Is the time in seconds since the object was released or thrown.

  • g: Is the constant acceleration due to gravity, which is consistently -10 \text{ m/s}^2 (the negative sign indicates downward acceleration).

This formula applies whether the object is dropped (where v0 = 0) or thrown (where v0 is a non-zero value).