Unit 1 Review Answers

 

  1.  
    1. units for slope are $/CD (y units over x units)
    2. the first CD costs $14.30 and every CD after that is $10.30 (see equation below)
    3. c = ($10.30/CD)x + $4.00, where c = cost and c = # of cd’s

 

    1. for 5 kg, ave. = 10.125 s = 10. s (uncertainty is in ones place an must be rounded to there)

for 10 kg, ave = 15.375 s = 15.3 s (uncertainty in tenths place)

for 15 kg, ave = 23.7 s = 24 s (uncertainty in ones place)

for 20 kg, ave. = 35.35 s = 35.4 s (uncertainty in tenths place)

    1. the relationship is difficult to tell with only four points and you’d have to graph using graphical analysis to see which has the best COR, but it could be either mass is directly proportional to time or mass2 is directly proportional to time

 

    1. s = (150 pts/y)c + 500 pts
    2. You will score 150 pts higher on your SAT for each year of science taken.
    3. s = (150 pts/y)(7 years) + 500 pts = 1550 pts

 

    1. how the maximum height depends upon the angle at which the sphere was shot
    2. angle (you are varying this)
    3. maximum height (you are measuring this for each angle)
    4. mass of sphere, how far the slingshot is pulled back, etc.

 

  1. Period2 is proportional to the length. Period is not affected by the mass or angle of release.

 

    1. accidents2 is proportional to age
    2. accidents2 vs age
    1. s = (500 $/app) e
    2. You don’t get any scholarship money without any effort (without submitting any applications).
    3. $8000 = (500 $/app) e so e= 16 applications
  3. (see shapes on the back of your unit 1 reading on graphical methods)
    1. y vs 1/x, y = m(1/x) + b
    2. y vs x2, y = mx2 +b
    3. y2 vs x, y2 = mx + b
  4. last digit is estimated so your answer can vary in the last digit BUT you MUST have the same number of decimal places
    1. estimate between 0 m and 1 m so 0.5 m
    2. estimate between 0.2 m and 0.3 m so 0.20 m
    3. estimate between 0.6 m and 0.61 m so c. 0.601 m