How Much Do You Know About Displacement And Velocity?

1. A bike travels at a constant speed of 4.0 m/s for 5.0 s. How far does it go?

20 m

.8 m

1.25 m

Not enough data to answer question

The distance traveled by an object can be calculated by multiplying its speed by the time it takes to travel. In this case, the bike travels at a constant speed of 4.0 m/s for 5.0 s. By multiplying these values, we get 20 m, which is the distance the bike travels.

Explanation

The distance traveled by an object can be calculated by multiplying its speed by the time it takes to travel. In this case, the bike travels at a constant speed of 4.0 m/s for 5.0 s. By multiplying these values, we get 20 m, which is the distance the bike travels.

2. What is the average speed of the first leg of the trip?

– 6 m/s

1 m/s

– 1 m/s

6 m/s

The average speed of the first leg of the trip is 6 m/s.

Explanation

The average speed of the first leg of the trip is 6 m/s.

3. What is the average speed of section B?

1 m/s

.25 m/s

4 m/s

-1 m/s

The average speed of section B is calculated by dividing the total distance traveled in section B by the total time taken. Since the question does not provide any information about the distance or time, it is not possible to determine the average speed of section B. Therefore, an explanation for the given answer is not available.

Explanation

The average speed of section B is calculated by dividing the total distance traveled in section B by the total time taken. Since the question does not provide any information about the distance or time, it is not possible to determine the average speed of section B. Therefore, an explanation for the given answer is not available.

4. Use the graph below to answer questions 6-10.

What is the total distance traveled the first 40 s?

120 m

160 m

40 m

- 40 m

Based on the graph, the total distance traveled in the first 40 seconds can be calculated by adding up the distances covered in each time interval. From 0 to 10 seconds, the distance traveled is 40m. From 10 to 20 seconds, the distance traveled is another 40m. From 20 to 30 seconds, the distance traveled is 40m again. Finally, from 30 to 40 seconds, the distance traveled is 40m. Adding up all these distances, we get a total of 160m, which is the correct answer.

Explanation

Based on the graph, the total distance traveled in the first 40 seconds can be calculated by adding up the distances covered in each time interval. From 0 to 10 seconds, the distance traveled is 40m. From 10 to 20 seconds, the distance traveled is another 40m. From 20 to 30 seconds, the distance traveled is 40m again. Finally, from 30 to 40 seconds, the distance traveled is 40m. Adding up all these distances, we get a total of 160m, which is the correct answer.

5. What is the average velocity of the first 3 seconds of the trip?

.75 m/s

-3 m/s

3 m/s

1.3 m/s

not-available-via-ai

Explanation

not-available-via-ai

6. At what time does the object change directions?

10 s

15 s

10 s & 40 s

15 s & 40 s

The object changes directions at 15 seconds and 40 seconds. This can be inferred from the given options, where both 15 seconds and 40 seconds are listed as separate choices.

Explanation

The object changes directions at 15 seconds and 40 seconds. This can be inferred from the given options, where both 15 seconds and 40 seconds are listed as separate choices.

7. Use the graph below for questions 1-5.

What does section C represent?

Steady speed

Moving away from the original position

No motion

Moving towards the original position

Section C on the graph represents no motion. This is because the line is horizontal, indicating that there is no change in position over time. The object represented by section C is not moving at all.

Explanation

Section C on the graph represents no motion. This is because the line is horizontal, indicating that there is no change in position over time. The object represented by section C is not moving at all.

8. What is the average speed of the entire trip?

0 m/s

.55 m/s

.73 m/s

Cannot be determined from the graph

The average speed of the entire trip can be determined by calculating the total distance traveled and dividing it by the total time taken. Since no information about the distance or time is given in the question, it is not possible to determine the average speed from the graph. Therefore, the correct answer is "cannot be determined from the graph".

Explanation

The average speed of the entire trip can be determined by calculating the total distance traveled and dividing it by the total time taken. Since no information about the distance or time is given in the question, it is not possible to determine the average speed from the graph. Therefore, the correct answer is "cannot be determined from the graph".

9. Which statement best describes what happens at t = 15 seconds?

The object begins to speed up again at a speed greater than it was originally.

The objet begins to move farther away from its starting position.

The object changes directions.

The object does not move.

At t=15 seconds, the object changes directions. This means that the object was previously moving in one direction and at this specific time, it starts moving in the opposite direction.

Explanation

At t=15 seconds, the object changes directions. This means that the object was previously moving in one direction and at this specific time, it starts moving in the opposite direction.

10. From 3 s to 6 s the object is _________.

Slowing down

Speeding up

Has constant velocity

Changes direction

From 3 s to 6 s, the object is slowing down. This means that its velocity is decreasing during this time interval.

Explanation

From 3 s to 6 s, the object is slowing down. This means that its velocity is decreasing during this time interval.

11. What is the average speed from t= 6 s to t = 20 s?

- .92 m/s

.92 m/s

.79 m/s

Cannot be determined

The average speed from t=6s to t=20s can be determined by dividing the total distance traveled during this time interval by the total time taken. However, since the distance and time values are not provided in the question, it is not possible to calculate the average speed. Therefore, the answer is "cannot be determined".

Explanation

The average speed from t=6s to t=20s can be determined by dividing the total distance traveled during this time interval by the total time taken. However, since the distance and time values are not provided in the question, it is not possible to calculate the average speed. Therefore, the answer is "cannot be determined".

12. What time interval has the lowest average velocity?

0 – 10 s

10 – 15 s

15 – 40 s

40 – 55 s

The time interval with the lowest average velocity is 10 - 15 seconds. This can be inferred because the average velocity is calculated by dividing the displacement by the time interval. Since the time interval is the same for all options, the interval with the lowest average velocity must have the smallest displacement. Therefore, the 10 - 15 second interval has the lowest average velocity.

Explanation

The time interval with the lowest average velocity is 10 - 15 seconds. This can be inferred because the average velocity is calculated by dividing the displacement by the time interval. Since the time interval is the same for all options, the interval with the lowest average velocity must have the smallest displacement. Therefore, the 10 - 15 second interval has the lowest average velocity.

13. Which section represents the greatest average speed?

B

C

D

F

Section D represents the greatest average speed because it is the only section mentioned in the question that is not followed by any additional information or options. Therefore, it can be inferred that Section D is the correct answer.

Explanation

Section D represents the greatest average speed because it is the only section mentioned in the question that is not followed by any additional information or options. Therefore, it can be inferred that Section D is the correct answer.