47. A sailboat leaves a harbor and sails 1.8 km in the direction 65 south of east, where the captain stops for lunch. A short time later, the boat sails 1.1 km in the direction 15" north of east. What is the magnitude of the resultant displacement from the harbor? A) 2.3 km E) 1.5 km C) 2.9 km D) 1.2 km E) 0.59 km 53. A race car will make one lap around a circular track of radius R. When the car has traveled hamvay around the track, what is the magnitude of the car's displacement 'om the starting point? A) 2R B) R C) 11R D) 21:}? E) zero meters 56. A bird ies 25.0 m in the direction 55 east of south to its nest on a cliff. The bird then ies 75.0 m in the direction 55 west of north to the top of a tree. What are the northward and westward components of the resultant diSplacement of the bird from its nest? northward westward A) 29 m 41 m B) 41 m 29 m C) 35 m 35 m D) 81 m 57 m E) 57 m 81 m 60. Two vectors A and B , are added together to form the vector C = A + B. The relationship between the magnitudes of these vectors is given by: Cr: A cos 30 + B and CV = A sin 30. Which statement best describes the orientation of these vectors? A) A points in the negative x direction while B points in the positive y direction. B) A points in the negative y direction while B points in the positive x direction. C) A points 30 below the positive x axis while 3 points in the positive x direction. D) 5 points 30 above the positive x axis while IE points in the positive x direction. E) A points 30 above the negative :1: axis while B points in the positive x direction