Distance: Real-world Applications

Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet exploring the concept of distance using velocity-time graphs through real-world applications. Designed to develop procedural skills and problem-solving abilities.

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Full preview • 11 questions

Distance: Real-world Applications

Subject: MathematicsGrade: Grade 7
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Date:
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Untitled Worksheet

Grade Grade 7
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A car travels at a constant speed of 60 km/h for 2 hours. Calculate the distance traveled.
[2 marks]
2.
A cyclist maintains a speed of 15 km/h for 3 hours. Find the total distance covered.
[2 marks]
3.
A runner accelerates from 8 m/s to 12 m/s over 5 seconds. Assuming constant acceleration, estimate the distance covered in this time interval.
[3 marks]
4.
If a vehicle's velocity-time graph shows a constant velocity of 50 km/h over 4 hours, what is the total distance traveled?
[2 marks]
5.
Construct a velocity-time graph for a vehicle that accelerates from 0 to 60 km/h in 10 minutes, then travels at constant speed for 20 minutes. Describe the shape of your graph.
[3 marks]
6.
A boat moves at 20 km/h downstream for 3 hours and then 10 km/h upstream for 2 hours. Calculate the total distance traveled. (Ignore effects of current).
[3 marks]
7.
A train accelerates uniformly from 0 to 100 km/h over 5 minutes. How far does it travel during this acceleration? (Use the formula distance = 0.5 × initial velocity + final velocity) × time / 2, converting minutes to hours as needed.
[3 marks]
8.
A hiker walks at 4 km/h for 2 hours, then rests for 30 minutes, then walks at 3 km/h for 1 hour. What is the total distance traveled?
[2 marks]
9.
A vehicle's velocity-time graph shows a straight line increasing from 0 to 80 km/h over 8 minutes, then maintaining that speed for 12 minutes. Calculate the total distance traveled in that period.
[3 marks]
10.
A motorcycle accelerates from 30 km/h to 90 km/h in 6 seconds. Assuming constant acceleration, estimate the distance covered during this time.
[3 marks]
11.
A delivery truck travels at 50 km/h for 4 hours, then slows to 30 km/h for the next 2 hours. Find the total distance traveled.
[2 marks]

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Details

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