The angle of displacement of a pendulum, , at time t seconds after it is released is

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The angle of displacement of a pendulum, θ, at time t seconds after it is released is modelled as θ = 0.03 cos (25t), where all angles are measured in radians.

a. State the maximum displacement of the pendulum according to this model.

b. Calculate the angle of displacement of the pendulum after 0.2 seconds.

c. Find the time taken for the pendulum to return to its starting position.

d. Find all the times in the first half second of motion that the pendulum has a displacement of 0.01 radians.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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