OCR M4 2002 January — Question 7

Exam BoardOCR
ModuleM4 (Mechanics 4)
Year2002
SessionJanuary
TopicVectors Introduction & 2D

7 At midnight, ship \(A\) is 70 km due north of ship \(B\). Ship \(A\) travels with constant velocity \(20 \mathrm {~km} \mathrm {~h} ^ { - 1 }\) in the direction with bearing \(140 ^ { \circ }\). Ship \(B\) travels with constant velocity \(15 \mathrm {~km} \mathrm {~h} ^ { - 1 }\) in the direction with bearing \(025 ^ { \circ }\).
  1. Find the magnitude and direction of the velocity of \(A\) relative to \(B\).
  2. Find the distance between the ships when they are at their closest, and find the time when this occurs.