A particle Q Q\,Q moves with constant acceleration (2i−3j)(2\mathbf{i} - 3\mathbf{j})(2i−3j) ms−2^{-2}−2. At time t=0t = 0t=0, Q Q\,Q has speed u u\,u ms−1^{-1}−1 and initial velocity vector u\mathbf{u}u. At time t=4t = 4t=4, Q Q\,Q has velocity (6i+5j)(6\mathbf{i} + 5\mathbf{j})(6i+5j) ms−1^{-1}−1.
Find the value of uuu.
30 exam-style questions on Edexcel AS Level Maths Forces and Motion, covering 10.1 Force Diagrams, 10.2 Forces as Vectors, 10.3 Forces and Acceleration, 10.4 Motion in 2 Dimensions, 10.5 Connected Particles, and 10.6 Pulleys. Each one has a worked solution and a mark scheme showing where the marks go.