Unit 2: 2-D Motion Review

Which vector model correctly describes a swimmer swimming 4 m/s East in an ocean current moving 2 m/s South?

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Tags

NGSS.MS-ESS2-6

A student is attempting to find their displacement when they walk 25 meters north then turn around and walk 15 meters south. Which method is correct?

• The student should add the two legs of the trip together because displacement is the total distance traveled.

• The student should use the Pythagorean theorem to find the displacement because displacement is a vector, which means you have to draw a triangle.

• The student should subtract the two because they are in opposite directions, and the displacement is the vector from start to finish.

An airplane is flying at 55 m/s West in a wind, and the resultant velocity of the plane in the wind is 60 m/s West. What type of wind is blowing on the plane?

• Headwind

• Tailwind

• Crosswind

Lilly is paddling in her kayak at 3 m/s East in a river that has a current of 0.5 m/s West. What is her resultant velocity?

• 2.5 m/s East

• 3.5 m/s East

• 2.5 m/s West

• 3.5 m/s West

Tags

NGSS.MS-PS2-2

A hiker’s displacement is shown in the diagram to the right; it is 6000 m, 67° N of E. How could we calculate their displacement to the east (the x-component)?

• 6000 cos (67°)

• 6000 sin (67°)

• 6000 tan (67°)

A hiker’s displacement is shown in the diagram to the right; it is 4500 m, 30° N of E. How could we calculate their displacement to the North (the y-component)?

• 4500 cos (30°)

• 4500 sin (30°)

• tan (30°)

Two students leave the 11th/12th grade office and walk to the cafeteria to get lunch. Student 1 takes the hallway past the library (solid line) and Student 2 takes the hallway past the art rooms (dashed line). How do their distances traveled and displacements compare?

• Student 1 and Student 2 traveled the same distance but Student 1 had a smaller displacement.

• Student 1 and Student 2 had the same displacement but Student 1 traveled less distance.

• Student 1 and Student 2 had the same displacement and distance covered.

• Student 1 traveled less distance and had a smaller displacement than Student 2.

A teacher walks 12 meters north across the hallway and then 5 meters west across the classroom. What is the displacement of the teacher?

• 17 meters NW

• 7 meters NW

• 15 meters 36.9° W of N

• 13 meters, 22.6° W of N

A car drives 30 meters north, then 20 meters west, and finally 40 meters south to reach the gas pump at Bucee’s

What is the correct drawing of vectors?

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A cyclist travels 50 meters east, then 30 meters north, and finally 20 meters west to reach the park.

What is the correct displacement of the vectors?

• 30 m north; 70 m east

• 30 m north; 30 m east

• 50 m east; 20 m west