Vectors Worksheet – practice problems - Newman Physics



Vectors practice problems

Part A: Solve these graphically!

1. To get to the mall, you drive south for 12 km and then east for 3.0 km. What is your resultant displacement?

2. A squirrel runs across the yard a distance of 12 meters before running up 6.0 meters up a tree. What is its resultant displacement?

3. An airplane flies 150 km East and then 31 km North. What is its resultant displacement?

4. An eagle glides at 30 m/s due north. The wind blows due west at 10 m/s. What is the resultant velocity of the eagle?

5. A tourist is lost and walks 500 meters east, 300 meters south, 700 meters west and 200 meters south before finding someone to help them find their way. What is their displacement?

6. An orienteering project asked for students to head 45o south of east for 322 meters. Then they were to head 125 meters due south. What is their resultant displacement?

7. *An eagle glides at 30 m/s at an angle 25o south of west. The wind blows due west at 10 m/s. What is the resultant velocity of the eagle?

Part B: Solve these mathematically!

8. A Canada Goose is flying due east at a speed of 17 m/s. A wind blows towards the south at 12m/s. What is the resultant velocity of the goose?

9. A flock of ducks flies due north for 600 km during their migration. The also travel east 75 km. What is their resultant displacement?

10. To get to the mall, you must drive south for 12 km, west for 3.4 km, south for another 12 km and then east for 3.95 km. What is your resultant displacement?

11. A kid is lost at six flags and walks 500 meters west, 300 meters north, 700 meters east and 200 meters north before finding their parents. What is their resultant displacement?

12. A taxi drives around New York City. She drives north for 6 blocks, west for 3 blocks, north another 2 blocks, east 7 blocks, and finally south for 5 blocks. Find the resultant displacement in blocks.

Vectors practice problems

Part A: Solve these graphically!

1. To get to the mall, you drive south for 12 km and then east for 3.0 km. What is your resultant displacement?

2. A squirrel runs across the yard a distance of 12 meters before running up 6.0 meters up a tree. What is its resultant displacement?

3. An airplane flies 150 km East and then 31 km North. What is its resultant displacement?

4. An eagle glides at 30 m/s due north. The wind blows due west at 10 m/s. What is the resultant velocity of the eagle?

5. A tourist is lost and walks 500 meters east, 300 meters south, 700 meters west and 200 meters south before finding someone to help them find their way. What is their displacement?

6. An orienteering project asked for students to head 45o south of east for 322 meters. Then they were to head 125 meters due south. What is their resultant displacement?

7. *An eagle glides at 30 m/s at an angle 25o south of west. The wind blows due west at 10 m/s. What is the resultant velocity of the eagle?

Part B: Solve these mathematically!

8. A Canada Goose is flying due north at a speed of 17 m/s. A wind blows towards the west at 12m/s. What is the resultant velocity of the goose?

9. A flock of ducks flies due north for 600 km during their migration. The also travel east 75 km. What is their resultant displacement?

10. To get to the mall, you must drive south for 12 km, west for 3.4 km, south for another 12 km and then east for 3.95 km. What is your resultant displacement?

11. A kid is lost at six flags and walks 500 meters west, 300 meters north, 700 meters east and 200 meters north before finding their parents. What is their resultant displacement?

12. A taxi drives around New York City. She drives north for 6 blocks, west for 3 blocks, north another 2 blocks, east 7 blocks, and finally south for 5 blocks. Find the resultant displacement in blocks.

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