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D-t Graphs In-Class Practice Sheet Level 1

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Grade 9
Unit 1
D-T GRAPHS PRACTICE SHEET
LEVEL 1
A. Science Objectives in this worksheet
1. Criterion C: Processing and evaluating
● Strand i - correctly collect, organize and present data in numerical and/or
visual forms
● Strand ii - accurately interpret data and describe results using scientific
reasoning
2. Criterion A: Knowledge and understanding
● Strand ii - apply scientific knowledge and understanding to solve
problems set in familiar and unfamiliar situations
● Strand iii - analyse and evaluate information to make scientifically
supported judgments.
B. Task:
Google maps engineering teams are required to keep updating their database on
regular intervals to ensure accuracy and precision of data. They do this by doing dry
runs in cars with cameras and motion sensors. The data collected is then used to
modify and improve on google maps app performance.
Given below is the data from one such dry run. The team completed a drive from
Bellandur Signal to Church Street. As part of the engineering team, you are required
to transform this data and interpret it in-order to find out the optimum velocities of
vehicles for certain sections of the road. This information would be very useful for
the google map app development team to predict the amount of time taken to
travel from Bellandur Signal to Church Street. at that time of the day.
Place
Bellandur
Signal Start
Time (min)
Displacement of the car (km)
0
0
5
10
15
20
25
30
35
40
45
50
55
5
10
15
15
15
20
28
40
50
52
54
Grade 9
Unit 1
Reached
Church street
Return to
Bellandur
signal
60
56
65
56
70
56
75
80
85
90
95
100
105
110
115
40
35
30
25
20
15
10
5
0
1. Transform this data by plotting a d-t graph using this graphing tool or using excel.
Snip and paste here, the graph you created:
2. Use the graph to find out the average velocity of the car during the total journey
3. Use the graph to calculate all the possible velocities of the car at various sections of
the journey. You can do this collaboratively by assigning different sections to
calculate to each group member. However, all values must be present your
individual data sheet.
Hint: The command term calculate requires you to use the correct formula, show all
the relevant steps and arrive at a final numerical answer with correct units
Grade 9
Unit 1
a. Section 1: from 0 – 15 min
V=s/t=y2-y1/x2-x1=15-0/15-0=15/15=1km/min
b. Section 2: from 15 – 25 min
c. Section 3: from 25 – 45 min
d. Section 4: from 45 – 60
e. Section 5: from 60 – 70
f. Section 6: from 70 – 75
g. Section 7: from 75 – 115
4. Interpret the motion of the car at various sections of the graph. You may write over
the image you pasted above.
Hint: The command term Interpret requires you to use the given information and
arrive at possible conclusions. You must justify your conclusions with relevant data
from the question or other scientific information (laws, theories and formulas) that
you know.
a. Section 1: from 0 – 15 min
Interpretation:
Justification:
b. Section 2: from 15 – 25 min
Interpretation:
Justification:
c. Section 3: from 25 – 45 min
Interpretation:
Justification:
Grade 9
Unit 1
d. Section 4: from 45 – 60
Interpretation:
Justification:
e. Section 5: from 60 – 70
Interpretation:
Justification:
f. Section 6: from 70 – 75
Interpretation:
Justification:
g. Section 7: from 75 – 115
Interpretation:
Justification:
5. Explain the movement of the car between the time of 15 – 25 minutes based on
your understanding of vehicle movement on roads.
Hint: The command term explain requires you to give causes and effects based on
the situation given.
6. After analysing the data, the engineer works out possible ways and routes to
save atleast 15 min on this journey. Suggest where the driver could have
increased his speed and to what value, so that a person can cover the same
distance in 15 min less time.
Hint: The command term suggest requires you to propose a solution, hypothesis
or other possible answer. This may be based on a combination of scientific
information (formulas, calculation, laws) and your own experience and
understanding of the topics.
Grade 9
Unit 1
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