Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths OCR (MEI)
  5. Question bank

3.2.12 Vectors to solve kinematics problems (A-level only)

MediumHard
12345678910111213141516171819202122232425262728
Question 21

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

a.

Find the velocity of BBB.

[3]
b.

Find the bearing of the velocity vector

[2]
c.

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

[2]

3.2.12 Vectors to solve kinematics problems (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2.12 Vectors to solve kinematics problems (A-level only)