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 $v<em>0 = 0$) or thrown (where $v</em>0$ is a non-zero value).