OCR H240/03 2021 November — Question 9

Exam BoardOCR
ModuleH240/03 (Pure Mathematics and Mechanics)
Year2021
SessionNovember
TopicSUVAT & Travel Graphs

9 There are three checkpoints, \(A , B\) and \(C\), in that order, on a straight horizontal road. A car travels along the road, in the direction from \(A\) to \(C\), with constant acceleration. The car takes 20 s to travel from \(B\) to \(C\). The speed of the car at \(B\) is \(14 \mathrm {~ms} ^ { - 1 }\) and the speed of the car at \(C\) is \(18 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
  1. Find the acceleration of the car. It is given that the distance between \(A\) and \(B\) is 330 m .
  2. Determine the speed of the car at \(A\).