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Further Kinematics

Further Kinematics

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Question 158

A boat B B\,B moves with a constant velocity. At noon, B B\,B is at the point with position vector (4i−6j) km(4\mathbf{i} - 6\mathbf{j}) \text{ km}(4i−6j) km with respect to a fixed origin OOO. At 1430 the boat is at the point with position vector (−11i+14j) km(-11\mathbf{i} + 14\mathbf{j}) \text{ km}(−11i+14j) km.

a.

Find the time, in hours, between noon and 1430.

[1]
b.

Hence find the velocity of BBB.

[2]
c.

Find the bearing of the velocity vector

[2]
d.

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

[2]
Markscheme

Further Kinematics Questions

  1. A Level
  2. /Maths
  3. /Further Kinematics

363 exam-style questions on Edexcel A Level Maths Further Kinematics, covering 8.1 Vectors in Kinematics, 8.2 Vector Methods with Projectiles, 8.3 Variable Acceleration in One Dimension, 8.4 Differentiating Vectors, and 8.5 Integrating Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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