Best Fit Lines

20 flashcards · Physics · by Logan Pollack

  1. Points before the break of a graph cannot be used to calculate the slope. (can or cannot)

  2. slope formula

    m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}m=x2​−x1​y2​−y1​​

  3. Is the slope of a best fit line calculated from the data points or the line?

    the line

  4. When should you use a best fit curve?

    If the data appears to follow an exponential pattern

  5. Scaler

    Quantity with a magnitude only

  6. Scaler examples

    Time, Mass, Distance, Speed

  7. Vector

    Quantity given with both a magnitude and direction

  8. Vector examples

    Displacement, Velocity, Acceleration, Force, Momentum

  9. Properties of Vectors

    Can be moved as long as length and direction do not change Must have arrowhead Order of addition does not matter Two or more vectors added produce a resultant The resultant replaces the added vectors

  10. Equilibrium

    a vector that forces an object in equilibrium (balanced forces) same magnitude as resultant but opposite direction

  11. Speed

    Scalar Distance covered per unit of time Measured in meters/second Equation: v = d/t

  12. Velocity

    Vector Displacement traveled per unit of time Measured in meters/second Equation: v = d/t

  13. If an object is traveling in one direction(s), then the speed and velocity have the same magnitude

    Speed and Velocity Comparison

  14. Dot Diagram

    A long piece of ticker tape with dots imprinted at regularly timed intervals

  15. Concurrent Vectors

    Vectors that are drawn with their tails touching Used to indicate the general direction of the resultant Cannot be used to calculate exact resultants The resultant will fall somewhere between the two vectors

  16. Maximum Resultant

    Vectors are directed in the same direction 0° angle between the two vectors Resultant found by adding two vectors

  17. Minimum Resultant

    Vectors are directed in opposite directions 180° angle between the two vectors Resultant found by subtracting two vectors

  18. Range

    All resultants must fall within the range between the maximum and the minimum As the angle increases the resultant decreases

  19. Vector Diagram

    A vector diagram that has the same magnitude and same direction would also indicate constant velocity

  20. Motion Graph

    The slope of a distance/displacement/position versus time graph are used to represent speed/velocity The steeper the slope, the greater the speed/velocity Constant slope = constant speed/velocity