SPM 2018 Add Maths Paper 2, Question 12Kinematics of Linear Motion
Solved on video in English and Bahasa Melayu · 10 marks · Form 5, Kinematics of Linear Motion · 6:58 video
The question
Two particles P and Q move along a straight line such that the displacement of the particles from a fixed point O is s m. Particle P starts moving from A with s_P = 10 + 8t - 8t² and at the same time particle Q starts moving from B with s_Q = 6t² - 9t - 12, where t is the time, in seconds, after the two particles have started moving. (a) Find the distance, in m, between A and B. (b) Find the time, in seconds, when the particles met each other. (c) Calculate the total distance, in m, travelled by particle P when both particles met each other.
[10 marks]
6:58Step 1
A is the starting position of P: put t = 0 in s_P, s_P(0) = 10 + 0 - 0 = 10, so A is at +10 m from O.
10 more steps, each with the reason for it, in the full solution
Final answer
(a) 22 m, (b) t = 2 s, (c) 20 m
Where students lose marks
Watch out: P turns back at t = 0.5 s, so add both legs (2 + 18 m), not the net 16 m.
Watch every step of this question solved on video (6:58), with the reason behind each step and a box that checks your own answer.
No card. Every past-year question on video, in English and BM.
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