Question

The graph above represents position x versus time t for an object being acted on by a constant force. the average speed during the interval between 1 s and 2 s is most nearly]

(A) 2 m/s (B) 4 m/s (C) 5 m/s (D) 6 m/s (E) 8 m/s

Answer 1

The average speed of an object over a time interval is found by dividing the change in position by the change in time. Without the graph or position values for 1s and 2s, it is impossible to calculate the average speed. If the student provides these values, the average speed can be determined.

Step-by-step explanation:

The question relates to the graph of position versus time for an object subjected to a constant force. To determine the average speed of the object between 1 s and 2 s, we look at the change in position (Δx) over the change in time (Δt). However, the graph necessary to perform this calculation is not provided within the question.

Typically, the average speed is calculated using the formula Δx/Δt, where Δx is the position change from 1 s to 2 s and Δt is the time interval (1 second in this case). Without the specific values from the graph, it is not possible to provide an accurate answer. If the student can provide the position values at t=1 s and t=2 s, we could then calculate the average speed. For an object experiencing constant acceleration, we can also use the equations of motion to find average speed if acceleration and initial velocity are known.

The complete question is:

Answer 2

The average speed is 6m/s, option D.

What is the average speed in that interval?

We know that the graph below represents the position x as a function of time t.

We wan to find the average speed in that interval, so we need to find the distance traveled in that interval, and divide it by 1 second.

We know that this goes from 2m to 8m, and the interval is 2s - 1s = 1s

So the distance traveled in 1 second is 6 meters, and the average speed is:

S = 6m/1s = 6m/s.