A flagpole sits at the center of a playground. Initially, a child is located 8.50 m due north of the flagpole. Two minutes later, the child is 6.00 m away from the flagpole in the direction 37.0° south of east. The displacement of the child lies between which two cardinal directions? O South and west O North and east O North and west O South and east

I start walking. The 1st leg of my trip I walk dA = 130 m at θA = 19° south of east. The 2nd leg of my trip I walk dB = 55 m at θB = 13° north of east. On my final leg I walk dC = 95 m at θC = 69.5° north of west. Choose the coordinate system so that x is directed towards the east, and y is directed towards the north. a) Write an expression for the x-component of the final displacement in terms of the given quantities. b)Write an expression for the y-component of the final displacement in terms of the given quantities. c) What is the magnitude of my displacement vector (in meters) as measured from the origin? d)  What is the angle of my displacement vector as measured counterclockwise from the +x-axis?

Two vectors are given by A = 4.00 i + 7.00 j and B = 5.00 i – 3.00 j. What is the resultant displacement vector  C= A + B as a magnitude and direction? Group of answer choices 11.6 @ 97.2º 9.85 @ 24.0º 6.96 @ 12.8º 8.06 @ 336º 19.3 @ 32.1º 7.84 @ 352º

Vector A is 30° below the x-axis. Vector B is 35° to the right of the negative y-axis.  You will be asked to find the resultant, R = A + B.  What is the magnitude of the resultant?   Group of answer choices R = 13.7 m R = 4.04 m R = 10.3 m R = 19.4 m