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.