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Questions and Answers
What is the difference between dimension and unit?
What is the difference between dimension and unit?
What is displacement?
What is displacement?
DX = Xf - Xi
What is average speed?
What is average speed?
Total distance divided by total time
What is average velocity?
What is average velocity?
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How does speed relate to velocity?
How does speed relate to velocity?
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What is constant velocity?
What is constant velocity?
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What does velocity represent on position graphs?
What does velocity represent on position graphs?
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What does acceleration represent on velocity graphs?
What does acceleration represent on velocity graphs?
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What is acceleration?
What is acceleration?
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An object is slowing down when its velocity is approaching ___ from both sides.
An object is slowing down when its velocity is approaching ___ from both sides.
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When does a negative acceleration occur?
When does a negative acceleration occur?
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When does a positive acceleration occur?
When does a positive acceleration occur?
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What indicates that something is slowing down?
What indicates that something is slowing down?
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What is the kinematic equation for constant velocity?
What is the kinematic equation for constant velocity?
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What is the kinematic equation for constant acceleration?
What is the kinematic equation for constant acceleration?
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What is the velocity of a fish that jumps to a height of 0.8 m?
What is the velocity of a fish that jumps to a height of 0.8 m?
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How do you find the addition of vectors?
How do you find the addition of vectors?
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What is the method for subtracting vectors?
What is the method for subtracting vectors?
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What is the equation for falling object time?
What is the equation for falling object time?
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What are the Significant Figure Rules?
What are the Significant Figure Rules?
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Are all equations that have consistent units valid?
Are all equations that have consistent units valid?
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What is Jack's average velocity if he swims 9 lengths of a 25 m pool in 157.3 s?
What is Jack's average velocity if he swims 9 lengths of a 25 m pool in 157.3 s?
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How much further does a drunk driver travel before brakes compared to a sober driver?
How much further does a drunk driver travel before brakes compared to a sober driver?
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What is the average acceleration of a chipmunk moving from -1.41 m/s to 1.99 m/s in 2.55 s?
What is the average acceleration of a chipmunk moving from -1.41 m/s to 1.99 m/s in 2.55 s?
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What is the magnitude of vector A if its x-component is -10.65 and y-component is 6.45?
What is the magnitude of vector A if its x-component is -10.65 and y-component is 6.45?
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What is the angle of vector A if its components are equal?
What is the angle of vector A if its components are equal?
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At what point does a ball tossed into the air have the smallest speed?
At what point does a ball tossed into the air have the smallest speed?
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What are the two ways to specify a vector?
What are the two ways to specify a vector?
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Study Notes
Dimensions and Units
- Dimension: Categories of measurable quantities (e.g., mass, length, time).
- Unit: Specific ways to measure dimensions (e.g., kilograms, meters, seconds).
Displacement and Velocity
- Displacement: Calculated as ( \Delta X = X_f - X_i ).
- Average Speed: Total distance covered divided by total time.
- Average Velocity: Defined as displacement divided by time.
- Speed vs. Velocity: Speed is the absolute value of velocity.
Kinematics and Acceleration
- Constant Velocity: Can be represented by ( V = \Delta X/t ).
- Acceleration: Given by ( a = \Delta V/t ) and can be understood through graphical representation (slope of velocity graph).
- When Slowing Down: Occurs when velocity approaches zero from either side, indicated by different signs for velocity and acceleration.
Vector Addition and Subtraction
- Vector Addition: Implemented by drawing vectors tip-to-tail; use scale drawings for displacement and angles.
- Vector Subtraction: Involves adding the negative of a vector.
Kinematic Equations
- Constant Velocity Kinematic Equation: ( X_f = X_i + V_f ).
- Constant Acceleration Kinematic Equation: ( X_f = X_i + V_i t + \frac{1}{2} A t^2 ).
Examples in Motion
- Fish Leaping: Initial velocity calculated using ( V_f^2 = V_i^2 + 2aD_y ) leading to ( V_i \approx 3.95 , m/s ).
- Horizontal Leaps: Sperm whale example showing distance covered due to vertical height using ( u^2 \sin(2\theta) / g ).
Understanding Graphs
- Velocity on Position Graphs: The slope represents velocity.
- Acceleration on Velocity Graphs: The slope represents acceleration.
Calculating Distances and Times
- Falling Object: Time derived from ( t = \sqrt{2h/g} ).
- Subtle Differences: Distances traveled under different conditions (sober vs. drunk driving).
Significant Figures
- Rules of Significant Figures: Non-zero digits are significant, zeros between significant figures are significant, and final zeros after the decimal point are also significant.
Special Cases
- Toward Zero: A negative acceleration with a positive velocity indicates slowing down, and vice versa.
- Height and Speed: The relationship between height of jumps and initial speed (e.g., fox jumping).
Miscellaneous
- Acceleration of a Chipmunk: Can be calculated based on changing velocity over time.
- Ball Toss: The point of slowest speed during trajectory is at the peak.
Component Vectors
- Magnitude Calculation: A vector can be expressed with both ( x ) and ( y ) components.
- Components Representation: A vector defined either by magnitude and angle or by its components.
Projectile Motion
- Ball Trajectory: The maximum height reached corresponds to the minimum speed point in its arc.
General Principles
- Effects of Friction: After an initial powered acceleration, any friction leads to a deceleration.
Advanced Concepts
- Magnitude of Vector: The formula ( \sqrt{x^2 + y^2} ) can be used for magnitude determination.
Practical Applications
- Real-Life Examples: Evaluation of how various conditions (e.g., angle of launch, initial height) affect the outcome of a physical scenario.
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Description
Prepare for your physics exam with these flashcards covering essential concepts. Learn the differences between dimensions and units, and understand key terms like displacement, average speed, and average velocity. Ideal for reviewing foundational physics topics.