5. A golfer takes two strokes to putt his golf ball into the cup; the first stroke was due East and 10.0 m long; the second was due North and 3.80 m long. What is the magnitude and direction of the total displacement of the golf ball? a) 13.8 m, 20.8° North of East. b) 10.7 m, 20.8° North of East. 10.7 m, 45.0° North of East. d) 10.7 m, 69.2° North of East. c) e) 13.8 m, 69.2° North of East. East 10.0 m North 3.80 m

Vector A has a magnitude of 6.0 m and points 30° east of south. Vector B has a magnitude of 4.0 m and points 30° west of north. The resultant vector A + B is given by A) 2.0 m at an angle of 30° east of south. B) 10.0 m at an angle of 60° east of south. C) 1.0 m at an angle of 60° north of west. D) 2.0 m at an angle of 30° north of west. E) 10.0 m at an angle of 60° north of west.

2. An airplane flies with a displacement vector r. If the x-component of the plane is 132 km West and the y-component of the plane is 129 km South, what is the magnitude and direction of the resultant vector r? (Specify the direction with respect to the negative x axis).

A delivery truck leaves a warehouse and travels 2.60 km north. The truck makes a right turn and travels 1.33 km east before making another right turn and then travels 1.45 km south to arrive at its destination. Express the displacement of the truck from the warehouse using unit vectors, where north is the +j direction and east is the +i direction. a. d = 1.337 + 1.45 b. d = 1.157 + 1.33] c. d = 1.337 + 1.15 d. à = 1.337 + 2.60j e. d = 2.607 + 1.45

6. While following a treasure map, you start at an old pine tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 40.0° north of east, where you find the treasure: a biography of Isaac Newton! (a) To return to the old pine tree, in what direction should you head and how far will you walk? Use components to solve this problem. (b) To see whether your calculation in part (a) is reasonable, check it with a graphical solution drawn roughly to scale.

1. Betty runs 6 m North, 6 m west and 3 m south. Find the magnitude and direction of the resultant displacement.

a. vx = 20 m/s , vy = 36 m/s . Find the vector's magnitude and direction.   c. ax = 3.0 m/s2 , ay = -7.5 m/s2 . Find the vector's magnitude and direction.

43. John is walking around campus. John walks 2.4 km north. John then makes a left turn and walks 1.45 km west. Finally, John makes a right turn and walks 1.2 km north and sits on a bench. What is the magnitude and displacement of John from the starting point? А. 3.9 km, 24° north of west В. 3.9 km, 66° north of west С. 5.3 km, 70° north of west D. no answer is correct Е. 5.3 km, 59° north of west

A roller-coaster car moves 200 ft horizontally and then rises 135 ft at an angle of 30.0° above the horizontal. It next travels 135 ft at an angle of 40.08 downward. What is its displacement from its starting point? Use graphical techniques.

61. An ocean liner leaves New York City and travels 18.0° north of east for 155 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the directions (a) due east and (b) due north?