A particle P P\,P moves in a straight line so that at time t t\,t seconds, t≥0t \geq 0t≥0, its velocity is v=(12−2t2)v = (12 - 2t^2)v=(12−2t2) m s−1^{-1}−1
Find the distance travelled by P P\,P in the first second of its motion.
Find the value of t t\,t at which P P\,P changes its direction of motion.
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.