Question

Study the distance-time graph, showing the distances that eight different things cover in 120 seconds or less. The letters below correspond to the lines on the graph. For each object, calculate the average speed, and then match it with the closest correct answer.

A:
B:
C:
D:
E:
F:
G:
H:

Answer 1

Answer:

This question appear incomplete

Explanation:

This question appear incomplete because there is no list of closest correct answer there. Although can still be well attempted.

The formula to be used here is

average speed = distance ÷ time

The unit of speed here would be meters per second (m/s). However, some of the lines do not really fall on a measurable line on the graph and can only be "best assumed".

A: distance is 1600 meters

time appear to be 4 seconds (definitely less than 5 seconds according to the graph).

speed = 1600 ÷ 4

speed = 400 m/s

B: distance is 1600 meters

time appear to be 18 seconds (definitely less than 20 seconds according to the graph)

speed = 1600 ÷ 18

speed = 88.89 m/s

C: distance is 1600 meters

time is 65 seconds

speed = 1600 ÷ 65

speed = 24.62 m/s

D:  distance is 1600 meters

time is 105 seconds

speed = 1600 ÷ 105

speed = 15.24 m/s

E: distance is 1100 meters

time is 120 seconds

speed = 1100 ÷ 120

speed = 9.17 m/s

F: distance is 500 meters

time is 120 seconds

speed = 500 ÷ 120

speed = 4.17 m/s

G: distance appear to be 250 meters

time is 120 seconds

speed = 250 ÷ 120

speed = 2.08 m/s

H: distance appear to be 50 meters

time is 120 seconds

speed = 50 ÷ 120

speed = 0.42 m/s

Answer 2

The average speed for each object are:

1. The average speed of A is 400 m/s

2. The average speed of B is 88.89 m/s

3. The average speed of C is 24.62 m/s

4. The average speed of D is 15.24 m/s

5. The average speed of E is 9.17 m/s

6. The average speed of F is 4.17 m/s

7. The average speed of G is 2.08 m/s

8. The average speed of H is 0.33 m/s

Average speed is defined as the total distance travelled divided by the total time taken to cover the distance.

Average speed = Total distance / total time

With the above formula, we can obtain the average speed for each object as follow:

1. Determination of average speed of A

Total distance = 1600

Total time = 4 s

Average speed =?

Average speed = 1600 / 4

Average speed of A = 400 m/s

2. Determination of average speed of B

Total distance = 1600

Total time = 18 s

Average speed =?

Average speed = 1600 / 18

Average speed of B = 88.89 m/s

3. Determination of average speed of C

Total distance = 1600

Total time = 65 s

Average speed =?

Average speed = 1600 / 65

Average speed of C = 24.62 m/s

4. Determination of average speed of D

Total distance = 1600

Total time = 105 s

Average speed =?

Average speed = 1600 / 105

Average speed of D = 15.24 m/s

5. Determination of average speed of E

Total distance = 1100

Total time = 120 s

Average speed =?

Average speed = 1100 / 120

Average speed of E = 9.17 m/s

6. Determination of average speed of F

Total distance = 500

Total time = 120 s

Average speed =?

Average speed = 500 / 120

Average speed of F = 4.17 m/s

7. Determination of average speed of G

Total distance = 250

Total time = 120 s

Average speed =?

Average speed = 250 / 120

Average speed of G = 2.08 m/s

8. Determination of average speed of H

Total distance = 40

Total time = 120 s

Average speed =?

Average speed = 40 / 120

Average speed of H = 0.33 m/s

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