SC 130 Physical Science quiz five • Name:

Mathematical models on the half shell background rectangle major grid lines axes x-axis and y-axis a square root path a quadratic path data points as circles linear regression line data points as rectangles data points as diamonds text layers Mathematical relationships independent variable x (iv) dependent variable y (dv) y-axis labels 0 30 60 90 120 150 180 210 240 270 300 x-axis labels 0 6 12 18 24 30 36 42 48 54 60

  1. ____________________ Identify by the data point shapes (circles, squares, or diamonds) which of the relationships above is linear, that is of the form y = mx.
  2. ____________________ Identify by the data point shapes (circles, squares, or diamonds) which of the relationships above is quadratic (parabolic), that is of the form y = ax².
  3. ____________________ Identify by the data point shapes (circles, squares, or diamonds) which of the relationships above is likely to be a square root, that is of the form y=ax
  4. ____________________ Determine the slope for the linear relationship in the graph above.
  5. ____________________ Using the formula v=40h determine the velocity v for a marble rolling on a table launched from a height h of 49 cm on a banana leaf.
  6. ____________________ Using the velocity from the preceding problem and a marble mass of 20 grams, determine the kinetic energy KE = ½ mv² for the marble rolling on a table launched from a height of 49 cm on a banana leaf.
  7. ____________________ In laboratory four, what is a "duck"?
  8. ____________________ In laboratory four a blue marble went a distance of 30 centimeters in 0.6 seconds. What is the velocity v for the marble?
  9. ____________________ In laboratory four a 2.0 gram blue marble went a distance of 30 centimeters in 0.6 seconds. What is the momentum p for the marble?
  10. On Thursday I demonstrated that "marbles in equals marbles out" and that "speed in equals speed out." How do the marbles know what to do? What do you think? In a paragraph or two, share with me your thoughts and reflections on how the marbles know what to do. Do not simply throw around vocabulary - be careful to write plainly and clearly. Explain the terms you choose to use. Cite examples from your own playing with the marbles (you did play with the marbles, didn't you?). I will be looking for thoughtfull, well-reasoned, and sensible analysis.