A particle of mass 2 kg is acted on by forces (4i−3j) N(4\mathbf{i}-3\mathbf{j})\text{ N}(4i−3j) N, (−2i+7j) N(-2\mathbf{i}+7\mathbf{j})\text{ N}(−2i+7j) N and (pi+qj) N(p\mathbf{i}+q\mathbf{j})\text{ N}(pi+qj) N. Its acceleration is (3i+2j) m s−2(3\mathbf{i}+2\mathbf{j})\text{ m s}^{-2}(3i+2j) m s−2.
Determine p p\,p and qqq.
At time t=0t=0t=0 the velocity is (i−j) m s−1(\mathbf{i}-\mathbf{j})\text{ m s}^{-1}(i−j) m s−1. Determine the speed at t=5 st=5\text{ s}t=5 s.