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4.1.1 Kinematics (A-level only)

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Question 43

A high-precision hydraulic piston moves in a straight line inside a cylinder relative to a reference marker $M$ . The displacement, $x\,$ metres, of the piston from $M\,$ at time $t\,$ seconds is given by

\lambda e^{-0.25t}

where $c\,$ and $\lambda\,$ are constants. At time $t = 4$ , the acceleration of the piston is -1.5 m s^-2.

Show that $λ≈65.2\lambda \approx 65.2$

[4]

Given that the piston has an initial displacement of 16 metres, find the value of $c$ . 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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Question 43

\lambda e^{-0.25t}

where $c\,$ and $\lambda\,$ are constants. At time $t = 4$ , the acceleration of the piston is -1.5 m s^-2.

Show that $λ≈65.2\lambda \approx 65.2$

[4]

Given that the piston has an initial displacement of 16 metres, find the value of $c$ . 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.