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Practice | SPM Mathematics

SPM 1449 Mathematics (KSSM)

Question
Bahasa Melayu
Rajah 10 menunjukkan satu graf jarak-masa bagi dua buah kenderaan yang bergerak di atas jalan yang sama antara Melaka dan Muar, yang berjarak 80 km. Semua jarak diukur dari Melaka.
Graf OABC mewakili perjalanan van itu dari Melaka ke Muar, dengan O(0, 0), A(0.4, 30), B(0.5, 30) dan C(1.3, 80). Van itu berada dalam keadaan pegun antara A dan B.
Graf DBE mewakili perjalanan lori itu dari Muar ke Melaka, dengan D(0, 80) dan E(t, 0). Lori itu bergerak pada kadar malar dan B ialah titik pertemuan kedua-dua graf itu.

Van itu bergerak dengan laju malar dari B ke C. Diberi bahawa t = 0.8. Hitung jarak, dalam km, van itu dari Melaka pada saat lori itu tiba di Melaka.

English
Diagram 10 shows a distance-time graph for two vehicles travelling on the same road between Melaka and Muar, which are 80 km apart. All distances are measured from Melaka.
Graph OABC represents the van's journey from Melaka to Muar, where O(0, 0), A(0.4, 30), B(0.5, 30) and C(1.3, 80). The van is at rest between A and B.
Graph DBE represents the lorry's journey from Muar to Melaka, where D(0, 80) and E(t, 0). The lorry moves at a constant rate and B is the point at which the two graphs meet.

The van moves at a constant speed from B to C. It is given that t = 0.8. Calculate the distance, in km, of the van from Melaka at the moment the lorry arrives in Melaka.
3080O0.40.5t1.3Time (hour)DABCEDistance (km)
[3 marks]
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Modelled on SBP trial · Kertas 2 · Q11(b)(ii)

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