A particle P P\,P moves in a straight line with constant velocity. Initially P P\,P is at the point AAA, with position vector (4i−3j)(4\mathbf{i} - 3\mathbf{j})(4i−3j) m. At time t=3t = 3t=3 s, P P\,P is at the point BBB, with position vector (−5i+9j)(-5\mathbf{i} + 9\mathbf{j})(−5i+9j) m.
Find the velocity of PPP.
At time t=5t = 5t=5 s, P P\,P is at the point CCC. Find the distance ACACAC.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.