t01 024 • Name:

  1. A student gathered the data seen in the table below.
    Graphical analysis

    Soap Data

    Volume (cm³)Mass (g)
    00
    2024
    4048
    6072
    8096
    100120
    background rectangle major grid lines axes text layers Density of Soap Volume (cm³) Mass (g) x-axis labels 0 10 20 30 40 50 60 70 80 90 100 y-axis labels 0 10 20 30 40 50 60 70 80 90 100 110 120
    1. Plot the soap data on the graph.
    2. __________ __________ Calculate the density of the soap. Include the units with your answer.
    3. Based on the slope, will the soap [float] OR [sink]?
    4. Based on the slope, is this likely to be [Ivory] OR [Dial] soap?
  2. LibreOffice screen shot of soap density data. Spring 2013 I was puzzled by a bar of blue Lux Wake Me Up soap. I gathered data and made the chart shown based on the data. The slope was 0.9853 g/cm³. When placed in water the soap sank.
    1. What was unexpected about this result?
      Lux Wake Me Up soap
    2. Explain why this might have happened.
  3. A RipStik was ridden three times at three different velocities (speeds). The data was gathered in the table seen below.
    Graphical analysis
    Time
    (s)
    ○ A (cm)□ B (cm)◊ C (cm)
    00
    1400
    2800
    41600
    52000
    00
    2400
    4800
    81600
    102000
    00
    3400
    6800
    91200
    background rectangle major grid lines axes text layers RipStik Velocity Time (seconds) Distance (centimeters) x-axis labels 0 1 2 3 4 5 6 7 8 9 10 y-axis labels 0 200 400 600 800 1000 1200 1400 1600 1800 2000
    1. Plot the data using circles, squares, and diamonds for A, B, and C respectively.
    2. __________ __________ Calculate the velocity (speed) of RipStik run A. Do not forget to include the units!
    3. __________ __________ Calculate the velocity (speed) of RipStik run B.
    4. __________ __________ Calculate the velocity (speed) of RipStik run C.
    5. __________ Which RipStik run is the fastest (A, B, or C)?
    6. __________ Which RipStik run is the slowest (A, B, or C)?
    7. __________ __________ Based on the slope and intercept, how far will RipStik A travel in 23 seconds?
    8. __________ __________ Based on the slope and intercept, how long in seconds for RipStik B to travel 6000 centimeters?

slope= ( y2 y1 ) ( x2 x1 )
Volume V = length l × width w × height h
mass m = density ρ × Volume V
ρ= m V

ѵ= Δd Δt
distance d = velocity ѵ × time t