A particle P P\,P has acceleration [(5t−4)i+(4t−6)j] ms−2[(5t - 4)\mathbf{i} + (4t - 6)\mathbf{j}] \text{ ms}^{-2}[(5t−4)i+(4t−6)j] ms−2 where t t\,t is the time in seconds. Initially P P\,P has velocity (−3i+5j) ms−1(-3\mathbf{i} + 5\mathbf{j}) \text{ ms}^{-1}(−3i+5j) ms−1
Find an expression for the velocity of P P\,P in terms of ttt
326 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.