A particle has velocity v=((t−3)2+k) m s−1v=((t-3)^2+k)\text{ m s}^{-1}v=((t−3)2+k) m s−1, where k k\,k is a constant. During the first 6 seconds its displacement is 30 m.
Determine kkk.
Hence prove that the particle does not change direction.
102 exam-style questions on WJEC A Level Maths 2.7 Kinematics, covering 2.7.1 Kinematics, 2.7.2 Kinematics, 2.7.3 Kinematics, and 2.7.4 Kinematics. Each one has a worked solution and a mark scheme showing where the marks go.