034 • Name:

slope= ( y2 − y1 ) ( x2 − x1 ) || ѵ= Δd Δt || distance d = velocity ѵ × time t || acceleration= Δѵ Δt || ѵ = at || ѵ = gt || d = ½at² || d = ½gt² || where g is the acceleration of gravity || g = 980 cm/s²

  1. The graph shows soap density data. Use the graphed data to answer the following questions. Soap density Soap density Dial Basic Neutrana Ivory volume (cm³) mass (g) y-axis labels 0 10 20 30 40 50 60 70 80 90 100 x-axis labels 0 10 20 30 40 50 60 70 80 90 100
    1. __________ _____ Calculate the density ρ of Dial Basic soap.
    2. ______________ Based on the density, will Dial Basic soap float or sink?
    3. __________ _____ Using the density above, calculate the mass of a bar of Dial Basic soap that has a volume of 160 cm³.
    4. __________ _____ Using the density above, calculate the volume of a bar of Dial Basic soap that has a mass of 250 grams.
    5. __________ _____ Calculate the density ρ of Ivory soap.
    6. ______________ Based on the density, will Ivory soap float or sink?
    7. __________ _____ Calculate the density ρ of Neutrana soap.
    8. ______________ Critical thinking: Based on the density, will Neutrana soap float or sink?
  2. For the following RipStik velocity chart (note that the RipStik starts from 500 cm!):
    Graph f(x) = 300x + 500 RipStik time versus distance Time (seconds) Distance (centimeters) x-axis labels 0 1 2 3 4 5 6 7 8 9 10 y-axis labels 0000 1000 2000 3000 4000
    1. __________ _____ Determine the velocity ѵ of the RipStik.
    2. __________ _____ If the RipStik continued at that velocity for 30 seconds, how many centimeters would the RipStik travel?
    3. __________ _____ If the RipStik continued at that velocity for 5600 centimeters, how many seconds would the RipStik travel?
  3. Fastlynn ran 24200 centimeters in 88 seconds.
    1. __________ _____ Calculate Fastlynn's speed in centimeters per second.
    2. _______________ Is Fastlynn faster or slower than 202 cm/s speed of the RipStik on Monday 22 August?.
    3. __________ seconds. How long in seconds for Fastlynn to run 100,000 centimeters (equals one kilometer)?
  4. The time versus distance for two runs of a RipStik were recorded in the table below.
    Graphical analysis background rectangle major grid lines D text layers RipStik Velocity Time (seconds) Distance (centimeters) x-axis labels 0 1 2 3 4 5 y-axis labels 0 80 160 240 320 400 480 560 640 720 800
    Time
    (s)    		○ A
    (cm)    		□ B
    (cm)
    A
    0 0
    2 400
    4 800
    B
    0 0
    1 80
    2 160
    3 480
    4 800
    1. Plot the data using circles and squares for A and B respectively.
    2. __________ __________ Calculate the velocity for RipStik run A.
    3. __________ __________ Calculate the velocity for RipStik B from 0 to 2 seconds.
    4. __________ __________ Calculate the velocity for RipStik B from 2 to 4 seconds.
    5. __________ __________ Based on the above two calculations, by how much did the velocity increase for RipStik B?
    6. __________ __________ Calculate the average acceleration of RipStik B over the four seconds from 0 to 4 seconds by dividing the change in velocity by four seconds.
    7. __________ __________ The curve on the graph is the acceleration of RipStik. Using the point D (5 seconds, 800 cm) and the equation d = ½at², calculate the acceleration of the RipStik.
  5. Thursday laboratory measurement of the acceleration of gravity:
    1. __________ _____ What was the acceleration of gravity that you measured on Thursday?
    2. ___________________ Given that the actual acceleration of gravity is g = 980 cm/s², was your experimentally measured value for the acceleration of gravity too high or too low?