Three velocity vectors act on a drone simultaneously: ,

PHYSICS · Single correct · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

Three velocity vectors act on a drone simultaneously: V1=25 m/s  i^+40 m/s  j^\mathbf{V}_1 = 25\,\text{m/s}\;\mathbf{\hat i} + 40\,\text{m/s}\;\mathbf{\hat j}, V2=−30 m/s  i^+15 m/s  j^\mathbf{V}_2 = -30\,\text{m/s}\;\mathbf{\hat i} + 15\,\text{m/s}\;\mathbf{\hat j}, and V3=10 m/s  i^−35 m/s  j^\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 m/s,  76∘25.0\,\text{m/s},\;76^{\circ} (b) 20.6 m/s,  15∘20.6\,\text{m/s},\;15^{\circ} (c) 20.6 m/s,  76∘20.6\,\text{m/s},\;76^{\circ} (d) 19.4 m/s,  76∘19.4\,\text{m/s},\;76^{\circ}

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