1) Three finalists in a contest are brought to the center of a large field. Each are given the following three displacements: 72.4 m, 32 degrees east of north 57.3 m, 36 degrees south of west 17.8 m, straight south At the end of the three displacements is a treasure. Two of the contestants start to walk the displacements, but the third calculates the resultant vector. a) Find the magnitude of the resultant vector (show all components for credit) b) Find the angle of the resultant vector from the positive x-axis c) Write the position vector that represents the resultant vector d) If the third contestant travels from the starting point to the treasure in 1.3 minutes, what is his velocity vector in units of m/5. e) Draw the diagram of the three displacements showing all distances and angles