A particle P P\,P has acceleration [(4t2−6)i+(3t2+6t)j] ms−2[(4t^2 - 6)\mathbf{i} + (3t^2 + 6t)\mathbf{j}] \text{ ms}^{-2}[(4t2−6)i+(3t2+6t)j] ms−2 where t t\,t is the time in seconds. When t=3t = 3t=3 the velocity of the particle is (20i+30j) ms−1(20\mathbf{i} + 30\mathbf{j}) \text{ ms}^{-1}(20i+30j) ms−1
Find an expression for the velocity of P P\,P in terms of ttt
Initially the particle is at the point with position vector (4i−7j)(4\mathbf{i} - 7\mathbf{j})(4i−7j). Find an expression for the displacement of P P\,P in terms of ttt
363 exam-style questions on Edexcel A Level Maths Further Kinematics, covering 8.1 Vectors in Kinematics, 8.2 Vector Methods with Projectiles, 8.3 Variable Acceleration in One Dimension, 8.4 Differentiating Vectors, and 8.5 Integrating Vectors. Each one has a worked solution and a mark scheme showing where the marks go.