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4.1.1 Kinematics (A-level only)

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Question 30

A particle moves in a straight line relative to an origin $O$ . The displacement, $s$ metres, of the particle from $O$ at time $t$ seconds is given by

s = p + 5t - ke^{-0.4t}

where $p$ and $k$ are constants. At time $t = 2$ , the acceleration of the particle is $s−2-2.4\text{ m s}^{-2}$ .

Show that $\approx 33.4$

[4]

Given that the particle has an initial displacement of 8 metres, find the value of $p$ . Give your answer to two significant figures.

[2]

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 30

A particle moves in a straight line relative to an origin $O$ . The displacement, $s$ metres, of the particle from $O$ at time $t$ seconds is given by

s = p + 5t - ke^{-0.4t}

where $p$ and $k$ are constants. At time $t = 2$ , the acceleration of the particle is $s−2-2.4\text{ m s}^{-2}$ .

Show that $\approx 33.4$

[4]

Given that the particle has an initial displacement of 8 metres, find the value of $p$ . Give your answer to two significant figures.

[2]

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.