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3.2 Kinematics

3.2 Kinematics

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Question 80

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

3.2 Kinematics Questions

  1. A Level
  2. /Maths
  3. /3.2 Kinematics

158 exam-style questions on OCR (MEI) A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Position, displacement, distance and distance travelled, 3.2.3 Velocity, speed and acceleration distinctions, 3.2.4 Draw and interpret kinematics graphs, 3.2.5 Differentiate position and velocity (A-level only), 3.2.6 Integrate acceleration and velocity (A-level only), 3.2.7 When constant acceleration formulae apply, 3.2.8 Solve 1-D kinematics problems, 3.2.9 Language of kinematics in 2 dimensions (A-level only), 3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only), 3.2.11 Cartesian equation of a path (A-level only), and 3.2.12 Vectors to solve kinematics problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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