Distance: Error Analysis & Misconceptions

Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on understanding and calculating distance from velocity-time graphs, highlighting common misconceptions and error analysis for Grade 8 students.

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Distance: Error Analysis & Misconceptions

Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the distance traveled when a vehicle moves at a constant speed of 60 km/h for 2 hours.
[2 marks]
2.
A car accelerates from 0 to 60 km/h in 10 seconds. If the acceleration is uniform, what is the average velocity during this period? (Convert km/h to m/s if necessary)
[3 marks]
3.
A velocity-time graph shows a constant velocity of 40 m/s for 5 seconds, then a decrease to 0 m/s in 3 seconds. Calculate the total distance traveled during the entire period.
[4 marks]
4.
Identify the common mistake made when calculating distance as just velocity multiplied by total time without considering changes in velocity shown on a graph.
[2 marks]
5.
A velocity-time graph shows the velocity increasing linearly from 0 to 50 m/s over 10 seconds. What is the total distance traveled during this time?
[3 marks]
6.
Construct a velocity-time graph for a vehicle that travels at 20 m/s for 4 seconds, then decelerates uniformly to 0 m/s over the next 6 seconds. Calculate the total distance covered.
[4 marks]
7.
A student calculates the distance traveled as 50 km/h × 4 hours = 200 km, but their velocity-time graph shows an initial speed of 60 km/h and then a reduction. Explain the error and how to correctly determine the distance.
[3 marks]
8.
A velocity-time graph shows a steady velocity of 30 m/s for 8 seconds. A mistake is made by calculating distance as 30 m/s × 8 seconds = 240 m. Is this correct? Why or why not?
[2 marks]
9.
A velocity-time graph shows a decrease from 20 m/s to 0 m/s over 5 seconds. Construct the graph and find the total distance traveled.
[4 marks]
10.
Identify and correct the mistake in this student's reasoning: They added the areas of the velocity segments directly to find total distance without considering the shape of the graph.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet