The graph below depicts an object’s distance traveled over several intervals of time. Which option correctly lists the motion of the object for each time interval?(1 point)Responses Interval A B → no motioninterval BC → constant speedinterval CD → no motioninterval DE → acceleration interval AB → no motion interval BC → constant speed interval CD → no motion interval DE → acceleration interval AB → no motioninterval BC → decreasing speedinterval CD → constant speedinterval DE → acceleration interval AB → no motion interval BC → decreasing speed interval CD → constant speed interval DE → acceleration interval AB → constant speed interval BC → acceleration interval CD → constant speedinterval DE → no motion interval AB → constant speed interval BC → acceleration interval CD → constant speed interval DE → no motion interval AB → constant speedinterval BC → decreasing speedinterval CD → constant speedinterval DE → increasing speed

1 answer

To determine the motion of the object for each time interval based on the graph depicting distance traveled over time, the correct analysis of the graph is essential. However, since I can't see the graph, I can provide a guideline on how to interpret the intervals you described:

  1. No motion (A): This means that the distance remains constant over time; the graph would be a horizontal line.
  2. Constant speed (B): The distance increases at a steady rate, which is depicted as a straight line with a constant slope.
  3. Decreasing speed (BC): The object is still moving, but the distance increases at a decreasing rate, which would show a curve on the graph that rises less steeply over time.
  4. Increasing speed (BD): The distance increases at an increasing rate; the curve would rise steeper over time.
  5. Acceleration (D): This indicates that the object is gaining speed, which typically involves a change in slope.

Match the intervals with these descriptions based on the slopes and behavior of the graph. Once you have deduced the intervals clearly, you can select the option that correlates with your analysis.

If you provide information about the slopes or specific details from the graph, I can help you select the correct option more accurately!