1. Calvin is flying an airplane. His velocity with respect to the air around him is 78.0 m/s south. The air is also moving with a velocity of 12.4 m/s east. To an observer on the ground, what is the magnitude of Calvin's velocity?

	62.7 m/s
	90.4 m/s
	87.6 m/s
	79.0 m/s

2.

Why is it helpful to break vectors into their horizontal and vertical components before adding vectors?

3.

Max is golfing and he hits a ball 235 meters 15.9o west of north. From that location he hits the ball 29.5 meters 41.1o east of north. What is the final displacement vector for Max's golf ball?

	246 m, 29.1o east of north
	252 m, 10.3onorth of west
	252 m, 10.3owest of north
	246 m, 29.1o north of east

4.

Patton launches a water balloon at a speed of 15.8 meters per second in the positive x-direction at an angle of 19.5o above horizontal. What are the components of the velocity vector right before the balloon strikes the ground?

	vx=5.27 m/s, vy=14.8 m/s
	vx=5.27 m/s, vy=14.8 m/s
	vx=14.8 m/s, vy=5.27 m/s
	vx=14.8 m/s, vy=5.27 m/s

5.

A ball is launched with an initial velocity of 27.7 meters per second at an angle of 12.5o above horizontal. At the peak of its trajectory, what are the components of the ball's velocity vector?

	vx=6.00 m/s, vy=27.0 m/s
	vx=27.0 m/s, vy=0 m/s
	vx=27.7 m/s, vy=6.00 m/s
	vx=6.00 m/s, vy=0 m/s

6.

Kathleen is rowing her canoe northward with an average force of 19.1 N. The wind is blowing directly south with an average force of 14.4 N. What is the net force on the canoe?

	4.7 N north
	4.7 N south
	33.5 N south
	33.5 N north

7.

Cuban tree frogs are skilled jumpers. They can launch themselves at 4.5 meters per second at an angle of 26o above horizontal. Assuming the frog is jumping on level ground, what is the frog's hang time in the air during a single jump?

	0.40 s
	1.2 s
	0.92 s
	0.77 s

8.

Cuban tree frogs are skilled jumpers. They can launch themselves at 4.5 meters per second at an angle of 26o above horizontal. Assuming the frog is jumping on level ground, how far will the frog travel in a single jump?

	0.95 m
	3.3 m
	2.0 m
	1.6 m

9.

An airplane moving at 127.3 m/s north encounters a headwind moving at 22.9 m/s south. What is the resultant velocity of the airplane?

	129 m/s north
	150 m/s north
	104 m/s north
	104 m/s south

10.

A surveyor is drawing property lines. He draws one line that is 45.0 meters long, and is 25.5o south of west. How long is the western component of the vector he has drawn?

	19.4 m
	40.6 m
	45.0 m
	37.7 m

11.

Three people are driving their cars in different directions, in an open field. At one point, while they are all driving, they each measure the other drivers' velocities. When they compare measurements afterward, they notice that they all got different measurements from each other. Why do their measurements not match?

12.

Sherri is drawing the free body diagram for an object. She says that the object has no net force acting upon it. Which of the following observations would support this statement? (Choose all that apply)

	the object is sitting still
	the object that is slowing down.
	the object that is changing direction.
	the object is moving with constant velocity
	the object that is speeding up

13.

A vector is drawn on an x-y plane. It has a magnitude of 65.1 centimeters and a direction of 28.0o below the positive x-axis. What is the x-component of this vector?

	27.1 cm
	30.6 cm
	65.1 cm
	57.5 cm

14.

A helicopter takes off and travels forward at an angle of 59.4o above horizontal. After following this path for 294 meters, the pilot changes the angle of flight to 10.5o above horizontal and follows this path for 849 meters. After these two legs, what is the helicopter's horizontal distance from the point of take off?

	408 m
	447 m
	964 m
	985 m

15.

Cory is driving west in a straight line. After driving for 1.7 kilometers, he turns north and drives for 4.3 km. At the end of his drive, what is the magnitude of his displacement vector?

	6.0 km
	5.1 km
	4.6 km
	3.4 km