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How far did the object travel by the end of eight seconds, according to the graph above?

How far did the object travel by the end of eight seconds, according to the graph-example-1

2 Answers

3 votes

Final answer:

Without the position-time graph, the exact distance an object traveled by the end of eight seconds cannot be determined. However, under normal circumstances, it is typically calculated by analyzing the length of the path on the graph and summing up all sections if changes in direction occur.

Step-by-step explanation:

To answer the question "How far did the object travel by the end of eight seconds, according to the graph above?" we would need to analyze the position-time graph provided. However, since the actual graph is not present in this query, we must acknowledge that a detailed answer cannot be given.

Generally, in a position-time graph, the total distance traveled is indicated by the length of the path on the graph. If the object starts from rest and moves in a straight line without changing direction, the distance can be calculated by subtracting the initial position from the final position. But if the graph shows changes in direction, we need to calculate the distance for each section of the motion and sum them up. Similarly, for an object that accelerates, the graph would be a curve, and the area under the curve up to eight seconds would represent the distance traveled in that time.

Without the graph, we can provide information on the concept but not the exact distance traveled by the object. To determine this, one would typically look at the final position value at the eight-second mark and account for any sections where the object may have reversed direction, thus traveling a net distance as opposed to total distance.

User Mina HE
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6 votes

Answer:

24 cm

Step-by-step explanation:

You know the equation for speed: v = Δd/Δt.

This is easy to use to find the distance travelled for the second half of the graph (4-8s) where the speed is constant:

4 = Δd / 4

Δd = 16 cm

For the first part (0-4s), the speed is changing. Since it is changing at a constant rate (i.e. the acceleration is constant), you can find the average speed (lowest speed + highest speed / 2) and use that in the equation above instead. In this case, the average speed is (0 + 4) / 2 = 2 cm/s. Plugging that into the equation above:

2 = Δd / 4

Δd = 8 cm

The total distance traveled is 16cm + 8cm = 24cm.

User Rymanso
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5.6k points