A particle is projected in a straight line from a point O After t seconds its displacement, s metres, from O is given by s 3t 2 t 3 a Write expressions for the velocity and acceleration at time t b Find the times when the body is instantaneously at rest c What distance is travelled between these ti...

a To find the velocity of the particle we take the derivative of s with respect to time t ddt 3t2 t3 ...

A particle is projected in a straight line from a point O. After t seconds its displacement,

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A particle is projected in a straight line from a point O. After t seconds its displacement, s metres, from O is given by s = 3t² – t³.

a. Write expressions for the velocity and acceleration at time t.

b. Find the times when the body is instantaneously at rest.

c. What distance is travelled between these times?

d. Find the velocity when t = 4 and interpret your result.

e. Find the initial acceleration.

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Cambridge IGCSE And O Level Additional Mathematics

ISBN: 9781510421646

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Authors: Val Hanrahan, Jeanette Powell

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Question Posted: Sep 06, 2021 01:36 AM

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A particle is projected in a straight line from a point O. After t seconds its displacement,

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a To find the velocity of the particle we take the derivative of s with respect to time t ddt 3t2 t3 ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics

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