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4.1.1 Kinematics (A-level only)

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Question 21

A particle $P\,$ travels along a straight line through a point $O\,$ so that at time $t\,$ s after passing through $O\,$ its displacement from $O\,$ is $x\,$ m, where $x = t^2(4t^2 - 4t + 1)$

Show that $P\,$ will never move along the negative $x$ -axis.

[2]

Find the times when $P\,$ is instantaneously at rest.

[5]

Find the total distance travelled by $P\,$ in the interval $\leq t \leq 5$

[3]

Markscheme

4.1.1 Kinematics (A-level only) Questions

A Level
Maths
4.1.1 Kinematics (A-level only)

61 exam-style questions on CCEA A Level Maths 4.1.1 Kinematics (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

4.1.1 Kinematics (A-level only)

Question bank

4.1.1 Kinematics (A-level only)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43

Question 21

A particle $P\,$ travels along a straight line through a point $O\,$ so that at time $t\,$ s after passing through $O\,$ its displacement from $O\,$ is $x\,$ m, where $x = t^2(4t^2 - 4t + 1)$

Show that $P\,$ will never move along the negative $x$ -axis.

[2]

Find the times when $P\,$ is instantaneously at rest.

[5]

Find the total distance travelled by $P\,$ in the interval $\leq t \leq 5$

[3]

Markscheme

4.1.1 Kinematics (A-level only) Questions

A Level
Maths
4.1.1 Kinematics (A-level only)

61 exam-style questions on CCEA A Level Maths 4.1.1 Kinematics (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.