Physics AP Formulas Flashcards

Study Notes

Average speed is calculated as ( V = \frac{d}{t} ) where ( V ) is speed, ( d ) is distance, and ( t ) is time.
Average velocity is given by ( V = \frac{\Delta X}{\Delta t} ), with ( \Delta X ) representing displacement and ( \Delta t ) representing the time interval.
Average velocity can also be determined from initial (( V_o )) and final velocity (( V )) using ( V = \frac{(V_o + V)}{2} ).

Displacement in uniformly accelerated motion can be calculated using the formula ( \Delta X = \left( \frac{V + V_o}{2} \right)t ), taking into account final velocity, initial velocity, and time.
For constant acceleration, the final velocity is expressed as ( V = V_o + at ), where ( a ) is acceleration.

The final position in uniformly accelerated motion is defined by ( X = X_o + V_o t + \frac{1}{2} a t^2 ), relating final and initial position, initial velocity, acceleration, and time.
For calculating final velocity in terms of position and acceleration, use ( V^2 = V_o^2 + 2a(X - X_o) ).

In free fall, the final Y velocity is given by ( V_y = V_{oy} - gt ) where ( g ) is the acceleration due to gravity.
The Y position during free fall is derived from ( y = Y_o + V_{oy} t - \frac{1}{2} g t^2 ), incorporating initial position and initial velocity.

Final velocity in a vertical motion context is defined as ( V_y^2 = V_{oy}^2 - 2g(y - Y_o) ), connecting vertical positions and velocities.
Upward or downward projectile motion can be described by ( V_y = V_{oy} - gt ) where initial velocity and time are considered.

Horizontally launched projectile motion is described by ( X = V_{ox}t ), using initial velocity in the x-direction and time.

( V = \frac{d}{t} ) - Average speed
( V = \frac{\Delta X}{\Delta t} ) - Average velocity
( V = \frac{(V_o + V)}{2} ) - Average velocity from initial and final values
( \Delta X = \left( \frac{V + V_o}{2} \right)t ) - Displacement with acceleration
( V = V_o + at ) - Final velocity with acceleration
( X = X_o + V_o t + \frac{1}{2} a t^2 ) - Final position with constant acceleration
( V^2 = V_o^2 + 2a(X - X_o) ) - Final velocity in relation to displacement
( V_y = V_{oy} - gt ) - Final vertical velocity during free fall
( y = Y_o + V_{oy} t - \frac{1}{2} g t^2 ) - Vertical position in free fall
( V_y^2 = V_{oy}^2 - 2g(y - Y_o) ) - Final vertical velocity relating to positions
( X = V_{ox}t ) - Horizontal projectile motion.