Acceleration: Problem Solving & Reasoning

Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on understanding and calculating acceleration from velocity-time graphs, designed for GCSE Foundation students.

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Acceleration: Problem Solving & Reasoning

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A car increases its velocity from 0 m/s to 20 m/s in 10 seconds. Calculate its average acceleration.
[2 marks]
2.
A cyclist's velocity increases from 5 m/s to 15 m/s over 4 seconds. Find the acceleration.
[2 marks]
3.
Plot the velocity-time graph for an object that accelerates at 3 m/s² starting from 0 m/s over 6 seconds.
[3 marks]
4.
A vehicle's velocity is represented by a straight line on a velocity-time graph, rising from 0 m/s to 30 m/s in 15 seconds. What is its acceleration?
[2 marks]
5.
During a 12-second interval, an object’s velocity increases from 10 m/s to 34 m/s. Calculate the acceleration.
[2 marks]
6.
Construct a velocity-time graph for an object that accelerates uniformly from 0 m/s to 12 m/s over 6 seconds. Describe the key features.
[3 marks]
7.
An athlete accelerates from 2 m/s to 8 m/s in 3 seconds. What is their acceleration? Show your working.
[3 marks]
8.
Explain why two objects with the same change in velocity over the same time can have different accelerations.
[3 marks]
9.
A train accelerates from 0 m/s to 30 m/s in 10 seconds. Calculate the acceleration, then determine the velocity after 15 seconds if it continues at the same rate.
[4 marks]
10.
Identify and correct the mistake in this statement: 'If an object’s velocity increases, its acceleration must be negative.'
[2 marks]
11.
A car's velocity-time graph shows a straight line sloping upwards from 0 to 50 m/s over 25 seconds. Calculate the acceleration and interpret what this indicates about the car's motion.
[3 marks]
12.
A rocket accelerates from 0 m/s to 500 m/s in 50 seconds. Calculate its average acceleration and discuss how acceleration affects the rocket's motion.
[4 marks]

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Details

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