Physics

Problem

Three velocity vectors act on a drone simultaneously:

\mathbf{V}_1 = 25\,\text{m/s}\;\mathbf{\hat i} + 40\,\text{m/s}\;\mathbf{\hat j}

\mathbf{V}_2 = -30\,\text{m/s}\;\mathbf{\hat i} + 15\,\text{m/s}\;\mathbf{\hat j}

, and

\mathbf{V}_3 = 10\,\text{m/s}\;\mathbf{\hat i} - 35\,\text{m/s}\;\mathbf{\hat j}

. Find the magnitude of the resultant velocity and the angle it makes with the positive x-axis (counter-clockwise, to the nearest degree). a)

25.0\,\text{m/s},\;76^{\circ}

20.6\,\text{m/s},\;15^{\circ}

20.6\,\text{m/s},\;76^{\circ}

19.4\,\text{m/s},\;76^{\circ}