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Mechanics — Question 146

Original QCE Vault practice · 7 marks

Q146 · Practice questionTechnology-activeComplex unfamiliar7 marks

QUESTION 146 (7 marks)

A

2.0\,\mathrm{kg}

particle moves in the

xy

-plane under force

F=(6-2t)i+(4t)j\,\mathrm{N}

. At

t=0

its velocity is

3i-j\,\mathrm{m}\,\mathrm{s}^{-1}

and position is the origin.

Original diagram for Specialist Mathematics Paper 2 question 17

a)

Find acceleration and velocity as functions of time.

[2 marks]

b)

Find position

r(t)

.

[2 marks]

c)

Find speed at

t=2\,\mathrm{s}

.

[2 marks]

d)

Find the work done by the net force from

t=0

to

t=2

using the work-energy theorem.

[1 mark]

Question linkSyllabus coverage

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