Serway & Jewett — The Laws of Motion: Problem 5

Two forces, \(\vec{F}_1 = (-6.00\hat{i} - 4.00\hat{j})\text{ N}\) and \(\vec{F}_2 = (-3.00\hat{i} + 7.00\hat{j})\text{ N}\), act on a particle of mass \(2.00\text{ kg}\) that is initially at rest at coordinates \((-2.00\text{ m}, +4.00\text{ m})\). (a) What are the components of the particle's velocity at \(t = 10.0\text{ s}\)? (b) In what direction is the particle moving at \(t = 10.0\text{ s}\)? (c) What displacement does the particle undergo during the first \(10.0\text{ s}\)? (d) What are the coordinates of the particle at \(t = 10.0\text{ s}\)?