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2.7 Kinematics

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Question 31

The vertical displacement yyy metres of a heavy-duty hydraulic damper from a fixed point OOO at time ttt seconds is modelled by the equation

y=σ+12t−μe−0.5t y = \sigma + 12t - \mu e^{-0.5t} y=σ+12t−μe−0.5t

where σ\sigmaσ and μ\muμ are constants. At time t=3t = 3t=3, the acceleration of the damper is measured as −0.8 m s−2-0.8 \text{ m s}^{-2}−0.8 m s−2.

a.

Show that μ≈14.3\mu \approx 14.3μ≈14.3.

[4]
b.

Given that the damper has an initial displacement of 5 metres from OOO, determine the value of σ\sigmaσ. Give your answer to two significant figures.

[2]
Markscheme

2.7 Kinematics Questions

  1. A Level
  2. /Maths
  3. /2.7 Kinematics

102 exam-style questions on WJEC A Level Maths 2.7 Kinematics, covering 2.7.1 Kinematics, 2.7.2 Kinematics, 2.7.3 Kinematics, and 2.7.4 Kinematics. Each one has a worked solution and a mark scheme showing where the marks go.

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