Physics

Speed and Vector Test
Practice Problems

Solve the following problems, showing all your work and following the problem-solving process. Please do not write onthis paper, as other classes can reuse it. The answers are on the reverse side.

1. A car is displaced 45.0° north of east by 10.0km. Find the components.2. A fish is swimming at 3.0 m/s relative to the water across a river that moves at 5.0 m/s. Find the fish’s resulting velocity.

3. A fast sprinter cancover 100 m in 10 s flat. (a) What is the average speed of the sprinter? (b) What would his time be for the mile (1610 m) if he could keep up the sprint pace?4. Find the components of the velocity of a helicopter traveling at 95 km/hr at an angle of 35° to the ground.

5. A surfer traveling at 1.0 m/s relative tothe water across a wave that is traveling at 6.0 m/s. find the surfer’s resulting velocity.

6. An object moves with a constant velocity of 15 m/s. How farwill it travel in 2.0s?

7. A girl delivering newspapers travels 3.0 blocks west, 4.0 blocks north and 6.0 blocks east. What is her resultant displacement andtotal distance travelled?

8. When will a vector have components of equal magnitude?

9. A submarine dives 110.0 m at an angle of 10.0° below thehorizontal. What are the components?
1. 7.07 km N; 7.07 km E

2. 5.8 m/s at 59° downriver.

3. 10 m/s; 161 s = 2.7 min

4. x = 78 km/hr; y = 54 km/hr5. 6.1 m/s at 9.5° from the wave

6. 5.0 blocks at 53° N of E; 13 blocks

7. 30. m/s

8. At 45°

9. 108 m horizontal; -19.1 m vertical