A particle P P\,P travels along a straight line such that at time t t\,t seconds, t≥0t \geq 0t≥0, after leaving the point O O\,O on the line, the velocity of PPP, v v\,v ms−1^{-1}−1, is modelled as
v=16+6t−t2 v = 16 + 6t - t^2 v=16+6t−t2the magnitude of the acceleration of P P\,P when P P\,P is at instantaneous rest,
Find the total distance travelled by P P\,P in the interval 0≤t≤50 \leq t \leq 50≤t≤5
260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.