Please answer all questions.

1			A bug starts at point A, crawls 8.0 cm east, then 5.0 cm south, 3.0 cm west, and 4.0 cm north to point B. (a) How far north and east is B from A? (b) Find the displacement from A to B both graphically and algebraically.
			A)	(a) 5.0 cm - EAST, 1.0 cm - SOUTH, (b) 5.10 cm - 11.3° SOUTH OF EAST
			B)	(a) 11.0 cm - EAST, 1.0 cm - SOUTH, (b) 11.1 cm - 5.2° SOUTH OF EAST
			C)	(a) 5.0 cm - EAST, 1.0 cm - NORTH, (b) 5.1 cm - 11.3° NORTH OF EAST
			D)	(a) 5.0 cm - EAST, 9.0 cm - SOUTH, (b) 10.1 cm - 60.9° SOUTH OF EAST
2			What displacement must be added to a 50 cm displacement in the +x-direction to give a resultant displacement of 85 cm at 25 degrees?
			A)	69 cm at 90°
			B)	45 cm at 37°
			C)	62 cm at 82°
			D)	45 cm at 53°
3			Starting at the origin of coordinates, the following displacements are made in the xy-plane (that is, the displacements are coplanar): 60 mm in the +y-direction, 30 mm in the -x-direction, 40 mm at 150°, and 50 mm at 240°. Find the resultant displacement both graphically and algebraically.
			A)	97 mm at 158°
			B)	134 mm at 153°
			C)	157 mm at 142°
			D)	97 mm at 22°
4			Compute algebraically the resultant of the following coplanar forces: 100 N at 30 degrees, 141.4 N at 45°, and 100 N at 240°. Check your result graphically.
			A)	0.341 kN at 0°
			B)	0.335 kN at 45°
			C)	0.15 kN at 65°
			D)	0.15 kN at 25°
5			What displacement at 70° has an x-component of 450 m? What is its y-component?
			A)	(a) 1.3 km, (b) 1.2 km
			B)	(a) 0.48 km, (b) 0.16 km
			C)	(a) 0.15 km, (b) 0.45 km
			D)	(a) 0.42 km, (b) 0.42 km
6			An auto travels at the rate of 25 km/h for 4.0 minutes, then at 50 km/h for 8.0 minutes, and finally at 20 km/h for 2.0 minutes. Find (a) the total distance covered in km and (b) the average speed for the complete trip in m/s.
			A)	(a) 540 km, (b) 642 m/s
			B)	(a) 12.5 km, (b) 38.6 m/s
			C)	(a) 10.7 km, (b) 126 m/s
			D)	(a) 9.0 km, (b) 10.7 m/s
7			A runner travels 1.5 laps around a circular track in a time of 50 s. The diameter of the track is 40 m and its circumference is 126 m. Find (a) the average speed of the runner and (b) the magnitude of the runner's average velocity. Be careful here; average speed depends on the total distance traveled, whereas average velocity depends on the displacement at the end of the particular journey.
			A)	(a) 3.8 m/s, (b) 0.8 m/s
			B)	(a) 2.5 m/s, (b) 1.3 m/s
			C)	(a) 0.8 m/s, (b) 3.8 m/s
			D)	(a) 75 m/s, (b) 200 m/s
8			During a race on an oval track, a car travels at an average speed of 200 km/h. (a) How far did it travel in 45.0 min? (b) Determine its average velocity at the end of its third lap.
			A)	(a) 9000 km, (b) 200 km/h
			B)	(a) 150 km, (b) zero
			C)	(a) 267 km, (b) 200 km/h
			D)	(a) 4.4 km, (b) 9000 km/h