Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

TopicSkillDifficulty

12 questions

SA-FM-C2-G011 markL1 FoundationCalculatorOblique wall

A smooth ball hits a smooth wall at

10

m s

^{-1}

60^\circ

to the wall. Find the velocity component parallel to the wall after impact.

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SA-FM-C2-Q011 markL1 FoundationNon-calculatorOblique wall

When a smooth sphere hits a smooth wall, which velocity component is unchanged?

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SA-FM-C2-X011 markL1 FoundationNon-calculatorOblique wall

A smooth ball hits a smooth wall at

8

m s⁻¹ at

30^\circ

to the wall, with

e=0.5

. Find the velocity component parallel to the wall after impact.

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SA-FM-C2-X021 markL1 FoundationNon-calculatorOblique wall

For the same impact, find the velocity component perpendicular to the wall after impact.

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SA-FM-C2-0012 marksL2 StandardCalculatorOblique wall

With

e=\frac13

in the last question, find the angle (degrees) between the rebound direction and the wall.

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SA-FM-C2-0022 marksL2 StandardCalculatorOblique wall

Find the rebound speed in the same situation (3 s.f.).

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SA-FM-C2-X032 marksL2 StandardNon-calculatorOblique wall

Find the rebound speed for the same impact.

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SA-FM-C2-X042 marksL2 StandardCalculatorOblique wall

A ball hits a smooth wall at

45^\circ

to the wall with

e=0.5

. Find the rebound angle to the wall in degrees.

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SA-FM-C2-0032 marksL3 ExamNon-calculatorTwo spheres

Smooth sphere A moving at

(3\mathbf i+4\mathbf j)

m s

^{-1}

hits an identical sphere B at rest. The line of centres is parallel to

\mathbf i

and

e=1

. Find the

\mathbf j

-component of A's velocity afterwards.

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SA-FM-C2-X052 marksL3 ExamNon-calculatorOblique wall

In the

8

m s⁻¹,

30^\circ

e=0.5

impact, find the fraction of kinetic energy lost.

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SA-FM-C2-X062 marksL3 ExamNon-calculatorTwo spheres

Smooth sphere A, velocity

(2\mathbf i+3\mathbf j)

m s⁻¹, hits an identical sphere B at rest. The line of centres is along

\mathbf i

and

e=0

. Find the

\mathbf i

-component of A's velocity afterwards.

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SA-FM-C2-0043 marksL4 ChallengingNon-calculatorTwo spheres

In the last question, find the

\mathbf i

-component of B's velocity afterwards.

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