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Mechanics — Question 126

Original QCE Vault practice · 6 marks

Q126 · Practice questionTechnology-freeComplex unfamiliar6 marks

QUESTION 126 (6 marks)

A particle at

P=(2,-1,1)

moves with direction

d=(1,2,-2)

and reflects from the plane

2x-y+2z=3

. Reflection reverses the normal component of

d

.

Original diagram for Specialist Mathematics Paper 1 question 16

a)

Find the point of impact.

[2 marks]

b)

Find a direction vector for the reflected motion.

[3 marks]

c)

Verify that reflection preserves speed if

d

represents velocity direction.

[1 mark]

Question linkSyllabus coverage

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