A particle moves in a straight line such that its displacement, x m, from a fixed-point O

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A particle moves in a straight line such that its displacement, x m, from a fixed-point O at time ts, is given by x = 3 + sin 2t, where t ≥ 0.

a. Find the velocity of the particle when t = 0.

b. Find the value of t when the particle is first at rest.

c. Find the distance travelled by the particle before it first comes to rest.

d. Find the acceleration of the particle when t = 3π/4.

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Question Posted: Sep 06, 2021 03:09 AM

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A particle moves in a straight line such that its displacement, x m, from a fixed-point O

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a The velocity of the particle when t 0 is 2 cos 0 2 b The ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

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