A particle P P\,P moves along a straight line with constant acceleration a a\,a m s−2^{-2}−2.
P P\,P passes the point A A\,A with speed u u\,u m s−1^{-1}−1.
Three seconds after passing AAA, the particle passes the point BBB, where AB=21AB = 21AB=21 metres.
Five seconds after passing AAA, the particle passes the point CCC, where AC=45AC = 45AC=45 metres.
Show that 21=3u+4.5a21 = 3u + 4.5a21=3u+4.5a and that 45=5u+12.5a45 = 5u + 12.5a45=5u+12.5a.
Hence find the value of u u\,u and the value of aaa.
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.