A-Level MathematicsYear 2021Q4
8 4. [In this question the unit vectors i and j are due east and due north respectively.] A stone slides horizontally across ice. Initially the stone is at the point A(–24i – 10j) m relative to a fixed point O. After 4 seconds the stone is at the point B(12i + 5j) m relative to the fixed point O. The motion of the stone is modelled as that of a particle moving in a straight line at constant speed. Using the model, (a) prove that the stone passes through O, (2) (b) calculate the speed of the stone. (3) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Paper Source:8MA0_01_que_20211007.pdf
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)