Linear motion — KCSE Mathematics

KCSE Mathematics · 99 practice questions · 3 syllabus objectives

34 easy32 medium33 hard

What You'll Learn

Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.

Define displacement, speed, velocity and acceleration and distinguish distance/displacement and speed/velocity

Plot and interpret distance-time and velocity-time graphs for linear motion

Define relative speed and solve problems involving relative speed

Sample Questions

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easySHORT ANSWER4 marks

State how to calculate the time it takes for two cyclists moving towards each other at different speeds to meet, given their initial distance apart. (4 marks)

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Part (a) — 1 mark

Relative speed = Speed of Cyclist 1 + Speed of Cyclist 2 (1 mk)

Part (b) — 3 marks

Time taken = Distance apart / Relative speed (1 mk)

Identify the distance between them at the start (1 mk)

Insert the speeds of both cyclists into the relative speed formula (1 mk)

easySHORT ANSWER3 marks

State the definition of relative speed and provide an example of its application in a scenario involving two vehicles. (3 marks)

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Part (a) — 1 mark

Relative speed is the speed of one object as observed from another object (1 mk)

Part (b) — 2 marks

If Vehicle A travels at 60 km/h and Vehicle B at 40 km/h in the same direction, their relative speed is 20 km/h (1 mk)

If they travel towards each other, their relative speed is 100 km/h (60 + 40) (1 mk)

easySHORT ANSWER4 marks

Explain how to calculate the average speed of an object using a distance-time graph. (4 marks)

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Part (a) — 4 marks

Identify the total distance travelled as represented on the graph. (1 mk)

Identify the total time taken as represented on the graph. (1 mk)

Use the formula average speed = total distance / total time. (1 mk)

State that the average speed is expressed in units of distance per time, e.g., m/s. (1 mk)

Describe how to interpret the slope of a distance-time graph for an object moving uniformly. (2 marks)

Linear motion — KCSE Mathematics

What You'll Learn

Sample Questions

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