Distance: Challenge & Extension
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of distance in velocity-time graphs, including practice, problem solving, real-world applications, and extension questions.
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Distance: Challenge & Extension
Subject: MathematicsGrade: Grade 8
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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 by a vehicle moving at a constant speed of 60 km/h for 2.5 hours.
[3 marks]2.
Plot the graph of y=3x over the interval x=0 to x=4 on the grid.
[2 marks]3.
A car accelerates from 0 m/s to 20 m/s in 10 seconds. Assuming constant acceleration, find the total distance covered during this period.
[4 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems. Show all working.
1.
A cyclist maintains a constant velocity of 15 km/h for 1 hour, then accelerates to 25 km/h and continues for another 2 hours. Sketch the velocity-time graph and calculate the total distance traveled.
[5 marks]2.
An object moves with a velocity of 10 m/s for 5 seconds, then decelerates uniformly to 0 m/s over the next 5 seconds. Draw the velocity-time graph and determine the total distance traveled.
[5 marks]C
Real-world Applications
Apply your understanding to these real-world scenarios.
1.
A runner's velocity varies during a 10-minute race, as shown in the velocity-time graph. If the graph indicates the runner accelerates then maintains a steady speed, explain how to find the total distance covered.
[4 marks]D
Challenge & Extension
Tackle these advanced problems to deepen your understanding.
1.
A vehicle accelerates from 0 to 30 m/s in 15 seconds. The velocity then remains constant for 10 seconds before decelerating to 0 in 10 seconds. Sketch the velocity-time graph and calculate the total distance traveled.
[6 marks]2.
Given a velocity-time graph with a sloped segment from 0 to 20 m/s over 4 seconds and a horizontal segment at 20 m/s for 6 seconds, find the total distance traveled.
[4 marks]E
Mixed Review
Review your knowledge with a variety of question types.
1.
A student records their velocity over 5 seconds as follows: 0, 4, 8, 4, 0 m/s. Sketch the velocity-time graph and determine the total distance traveled.
[5 marks]2.
If a car travels at 50 km/h for 3 hours, what is the distance? Show your calculation.
[2 marks]F
Error Analysis
Identify and correct the common mistakes in the following problems.
1.
A student calculates the area under a velocity-time graph by multiplying velocity by time without considering the shape of the graph. Explain why this approach may lead to inaccuracies and how to improve it.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet