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Questions and Answers
What does the formula V = d/t represent?
What does the formula V = d/t represent?
What does V = ΔX/Δt calculate?
What does V = ΔX/Δt calculate?
Average velocity
In the formula V = (Vo + V)/2, what does V represent?
In the formula V = (Vo + V)/2, what does V represent?
Average velocity
What does ΔX = (V + Vo/2)t calculate?
What does ΔX = (V + Vo/2)t calculate?
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What is represented by the formula V = Vo + at?
What is represented by the formula V = Vo + at?
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What does X = Xo + Vot + (1/2)at^2 calculate?
What does X = Xo + Vot + (1/2)at^2 calculate?
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What does V^2 = Vo^2 + 2a(X - Xo) compute?
What does V^2 = Vo^2 + 2a(X - Xo) compute?
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In the formula Vy = Voy - gt, what does g represent?
In the formula Vy = Voy - gt, what does g represent?
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What does the equation y = Yo + Voyt - (1/2)gt^2 determine?
What does the equation y = Yo + Voyt - (1/2)gt^2 determine?
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What does Vy^2 = Voy^2 - 2g(y - yo) represent?
What does Vy^2 = Voy^2 - 2g(y - yo) represent?
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What does V = Vo + at represent in terms of motion?
What does V = Vo + at represent in terms of motion?
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What does y = yo + Voyt + (1/2)at^2 calculate for upward motion?
What does y = yo + Voyt + (1/2)at^2 calculate for upward motion?
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What does Vy^2 = Voy^2 + 2a(y - yo) signify?
What does Vy^2 = Voy^2 + 2a(y - yo) signify?
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What does Vy = Voy - gt calculate?
What does Vy = Voy - gt calculate?
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What is represented by the formula Y = yo + voyt - (1/2)gt^2?
What is represented by the formula Y = yo + voyt - (1/2)gt^2?
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What does Vy^2 = Voy^2 - 2g(Y - Yo) represent in terms of motion?
What does Vy^2 = Voy^2 - 2g(Y - Yo) represent in terms of motion?
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What does X = Voxt compute for a projectile?
What does X = Voxt compute for a projectile?
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Study Notes
Speed and Velocity Formulas
- 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 and Time
- 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.
Position and 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) ).
Free Fall Motion
- 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.
Vertical Motion Equations
- 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.
Projectile Motion
- Horizontally launched projectile motion is described by ( X = V_{ox}t ), using initial velocity in the x-direction and time.
Summary of Key Equations
- ( 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.
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This quiz features essential formulas in Physics AP, focusing on speed, velocity, and displacement. Each flashcard provides key equations and definitions to enhance understanding. Perfect for AP students looking to master their physics concepts before exams.