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Question 3 A particle moves along a straight line and passes through a fixed-point O. The velocity, v ms-1, of the particle is given by

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Question 3 A particle moves along a straight line and passes through a fixed-point O. The velocity, v ms-1, of the particle is given by v = 6t - 12 - 5, where t is the time, in seconds, after passing through the point O. Suatu zarah bergerak di sepanjang suatu garis lurus dan melalui satu titik tetap O. Halaju v ms-1, diberi oleh v = 6t - 12- 5, di mana tialah masa, dalam saat, selepas melalui O. (a) Find Cari (i) the velocity, in ms-1 , of the particle when t = 2, halaju zarah, dalam, ms-1, apabila t = 2 , (ii) the time when the particle changes its direction, masa bila zarah bertukar arah gerakan, (iii) the maximum velocity, in ms-1 , of the particle. halaju maksimum zarah itu, dalam ms-1. [6 marks] [6 markah] (b) Find the total distance travelled in the first 4 seconds. Cari jumlah jarak yang dilalui oleh zarah dalam 4 saat yang pertama. [4 marks] [4 markah]

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