A particle moves in a straight line so that t seconds after passing through a fixed-point O,

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A particle moves in a straight line so that t seconds after passing through a fixed-point O, its acceleration, a ms^-2. Is given by a = pt + q, where p and q are constants.

The particle passes through O with velocity 3 ms^-1 and acceleration – 2ms^-2.

The particle first comes to instantaneous rest when t = 2.

a. Find the value of p and the value of q.

b. Find an expression, in terms of t, for the displacement of the particle.

c. Find the second value of t for which the particle is at instantaneous rest.

d. Find the distance travelled during the 4^th seconds.

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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 03:08 AM

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A particle moves in a straight line so that t seconds after passing through a fixed-point O,

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a To find the value of p and q we can use the information given about the velocity and acceleration ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

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