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2.2 Kinematics

2.2 Kinematics

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Question 32

At 10 a.m. plane A A\,A has position vector (2i−5j)(2\mathbf{i} - 5\mathbf{j})(2i−5j) km and moves with constant velocity (−4i+6j)(-4\mathbf{i} + 6\mathbf{j})(−4i+6j) km h−1\text{h}^{-1}h−1. Another plane B B\,B has position vector (−3i−9j)(-3\mathbf{i} - 9\mathbf{j})(−3i−9j) km and moves with constant velocity (i+8j)(\mathbf{i} + 8\mathbf{j})(i+8j) km h−1\text{h}^{-1}h−1.

a.

Find the relative displacement of plane A A\,A from plane B B\,B after t t\,t hours.

[4]
b.

Find the time when A A\,A is due west of BBB

[2]
c.

Find the time, after 10 a.m. when the planes are exactly 37 km apart.

[6]
Markscheme

2.2 Kinematics Questions

  1. A Level
  2. /Maths
  3. /2.2 Kinematics

85 exam-style questions on CCEA A Level Maths 2.2 Kinematics, covering 2.2.1 Kinematics, 2.2.2 Kinematics, 2.2.3 Kinematics, and 2.2.4 Kinematics. Each one has a worked solution and a mark scheme showing where the marks go.

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