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
a interval AB → no motion
interval BC → decreasing speed
interval CD → constant speed
interval DE → acceleration
b interval AB → no motion
interval BC → constant speed
interval CD → no motion
interval DE → acceleration
c interval AB → constant speed
interval BC → decreasing speed
interval CD → constant speed
interval DE → increasing speed
d interval AB → constant speed
interval BC → acceleration
interval CD → constant speed
interval DE → no motion
The correct option is:
c interval AB → constant speed
interval BC → decreasing speed
interval CD → constant speed
interval DE → increasing speed
The correct answer is:
c) interval AB → constant speed
interval BC → decreasing speed
interval CD → constant speed
interval DE → increasing speed
To determine the motion of the object for each time interval, we need to analyze the graph.
Looking at the graph, let's break it down into the intervals:
- Interval AB: From the start to point B, the distance traveled remains constant, so there is no motion.
- Interval BC: From point B to point C, the distance traveled increases, but the steepness of the graph decreases, indicating a decreasing speed.
- Interval CD: From point C to point D, the distance traveled increases linearly, with a constant steepness. This indicates constant speed.
- Interval DE: From point D to the end of the graph, the distance traveled increases at an increasing rate, showing acceleration.
Now let's match the motion of the object for each time interval with the options given:
a interval AB → no motion
interval BC → decreasing speed
interval CD → constant speed
interval DE → acceleration
b interval AB → no motion
interval BC → constant speed
interval CD → no motion
interval DE → acceleration
c interval AB → constant speed
interval BC → decreasing speed
interval CD → constant speed
interval DE → increasing speed
d interval AB → constant speed
interval BC → acceleration
interval CD → constant speed
interval DE → no motion
By comparing the motions described in the options with our analysis of the graph, we find that option C is the correct answer:
c interval AB → constant speed
interval BC → decreasing speed
interval CD → constant speed
interval DE → increasing speed