A particle P P\,P moves with constant acceleration (3i−4j)(3\mathbf{i} - 4\mathbf{j})(3i−4j) ms−2^{-2}−2. At time t=0t = 0t=0, P P\,P has speed u u\,u ms−1^{-1}−1. At time t=3t = 3t=3, P P\,P has velocity (−5i+2j)(-5\mathbf{i} + 2\mathbf{j})(−5i+2j) ms−1^{-1}−1.
Find the value of uuu.
49 exam-style questions on OCR (MEI) A Level Maths 3.5 Newton's Laws of Motion, covering 3.5.1 Meaning of Newton's three laws, 3.5.2 Equation of motion, 3.5.3 Equation of motion for a particle in a straight line, 3.5.4 Model a system of connected particles, 3.5.5 Equations of motion for individual particles, 3.5.6 System with no relative motion as a single particle, and 3.5.7 Equation of motion in a straight line or plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.