# [SPM Add Math Melaka Paper 2] How to solve question d? The answer is 38 but my answer is 42

### Question

1. Suatu zarah bergerak di sepanjang suatu garis lurus melalui satu titik tetap O. Halaju zarah itu, v \space ms^{-1}, diberi oleh v = t^2 β 10t + 24, dengan keadaan t ialah masa dalam saat selepas melalui O.
A particle moves along a straight line and passes through a fixed point O. Its velocity, v \space ms^{-1}, is given by v = t^2 β 10t + 24, where t is the time in seconds after passing through O.

Cari / Find
(a) halaju awal dalam ms^{-1}
the initial velocity in ms^{-1}
[1 markah/mark]

(b) halaju minimum, dalam ms^{-1}
the minimum velocity, in ms^{-1}
[3 markah/marks]

(c) julat nilai t ketika zarah bergerak ke arah kiri
the range of values of t for which the particle moves towards the left side
[2 markah/marks]

(d) jumlah jarak dalam m, yang dilalui oleh zarah dalam 5 saat pertama
the total distance, in m, travelled by the particle in the first 5 seconds.,
[4 markah/marks]