Use the graph of velocity vs. time for an object to answer the question.
A velocity versus time line graph. The vertical axis is labeled, velocity (m per s) and ranges from 0 to 30 increments of 5. The horizontal axis is labeled, time (s) and ranges from 0 to 240 in increments of 30. The graph shows a line that slopes upward from origin to (60, 10). The line then moves to (150, 15) and finally rises to (240, 30). The values used in the description are approximate.
Which statement fairly compares segment 2 and segment 3?
a These represent equal periods of time, but the force during segment 2 is different than the force during segment 3.
b These represent equal periods of time, and the force acting on the object is the same during each period of time.
c These represent different periods of time, but the force acting on the object is the same during each period of time.
d These represent different periods of time, and the force during segment 2 is different than the force during segment 3.
clearly (a) or (b), since 240-150 = 150-60
the slope of the line is the acceleration (velocity/time)
Since F = ma, and m does not change, compare the slopes to see whether the force is the same or not.
Woah, look at that snazzy graph! It's like a rollercoaster ride for velocity. Now let's analyze segments 2 and 3. Segment 2 goes from (60, 10) to (150, 15), while segment 3 goes from (150, 15) to (240, 30). Segment 2 is shorter in terms of time compared to segment 3, meaning they represent different periods of time. Ah, but what about the force acting on our object? Are they the same? Well, we can't really tell just from the graph. So, drumroll please...the answer is option D! The force during segment 2 is different from the force during segment 3. Keep on riding that velocity rollercoaster, my friend!
To answer this question using the velocity vs. time graph, we need to compare segment 2 and segment 3.
Looking at the graph, segment 2 starts at (60, 10) and ends at (150, 15). Segment 3 starts at (150, 15) and ends at (240, 30).
To determine the relationship between these two segments, we need to consider both the time and the velocity of the object.
Segment 2 covers a time interval from 60 seconds to 150 seconds, while segment 3 covers a time interval from 150 seconds to 240 seconds. Therefore, these are different periods of time.
Now let's compare the velocity of the object during these segments. In segment 2, the velocity increases from 10 m/s to 15 m/s. In segment 3, the velocity increases from 15 m/s to 30 m/s.
Since the force acting on an object is related to its acceleration, and acceleration is determined by the change in velocity over time, we can conclude that the force acting on the object is different during each period of time. Therefore, the correct statement is:
d) These represent different periods of time, and the force during segment 2 is different than the force during segment 3.
By analyzing the graph and considering the changes in velocity and time, we can determine the relationship between different segments and infer the answer.