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3 Mechanics

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Question 54

The unit vectors i\mathbf{i}i and j\mathbf{j}j are due east and due north respectively.

A boat B B\,B moves with constant velocity. At noon, B B\,B is at the point with position vector (2i−5j)(2\mathbf{i} - 5\mathbf{j})(2i−5j) km relative to a fixed origin OOO. At 1430, B B\,B is at the point with position vector (−8i+10j)(-8\mathbf{i} + 10\mathbf{j})(−8i+10j) km.

a.

Find the velocity of BBB.

[2]
b.

Find the bearing on which B B\,B is travelling.

[2]
c.

Find an expression, in terms of ttt, for the position vector of B B\,B at t t\,t hours after noon.

[2]
Markscheme

3 Mechanics Questions

  1. A Level
  2. /Maths
  3. /3 Mechanics

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