A particle of mass 3 kg is acted on by the forces F1=((4t+2)i+(10−3t)j)\mathbf{F}_1=((4t+2)\mathbf{i}+(10-3t)\mathbf{j})F1=((4t+2)i+(10−3t)j) N and F2=((2t+4)i+(8−3t)j)\mathbf{F}_2=((2t+4)\mathbf{i}+(8-3t)\mathbf{j})F2=((2t+4)i+(8−3t)j) N at time t t\,t seconds.
Find the acceleration of the particle at time ttt.
Find the time at which the resultant force is parallel to i\mathbf{i}i.
Find the magnitude of the resultant force at this time.
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.