Vectors, Magnitude, and Direction of Force Quick Check

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Question
The steepness of a line segment on a distance vs. time graph indicates which things about the motion of an object?(1 point)
Responses

upward-sloping line segment: The steeper the slope, the faster the motion.
downward-sloping line segment: The steeper the slope, the slower the motion.
upward-sloping line segment: The steeper the slope, the faster the motion. downward-sloping line segment: The steeper the slope, the slower the motion.

upward-sloping line segment: The steeper the slope, the slower the motion.
downward-sloping line segment: The steeper the slope, the faster the motion.
upward-sloping line segment: The steeper the slope, the slower the motion. downward-sloping line segment: The steeper the slope, the faster the motion.

upward-sloping line segment: The steeper the slope, the faster the motion.
downward-sloping line segment: The steeper the slope, the faster the motion.
upward-sloping line segment: The steeper the slope, the faster the motion. downward-sloping line segment: The steeper the slope, the faster the motion.

upward-sloping line segment: The steeper the slope, the slower the motion.
downward-sloping line segment: The steeper the slope, the slower the motion.

The correct response is: upward-sloping line segment: The steeper the slope, the faster the motion. downward-sloping line segment: The steeper the slope, the slower the motion.

The correct answer is:

- Upward-sloping line segment: The steeper the slope, the faster the motion.
- Downward-sloping line segment: The steeper the slope, the slower the motion.

The correct response is: upward-sloping line segment: The steeper the slope, the faster the motion. downward-sloping line segment: The steeper the slope, the slower the motion.

To understand why this is the correct answer, we need to understand how distance vs. time graphs represent motion. In a distance vs. time graph, the slope of a line segment represents the velocity or speed of the object.

If the line segment is upward-sloping, it means the distance is increasing over time. The steeper the slope of the line, the faster the distance is increasing, and therefore, the faster the motion. So, an upward-sloping line segment with a steep slope indicates faster motion.

On the other hand, if the line segment is downward-sloping, it means the distance is decreasing over time. The steeper the slope of the line, the faster the distance is decreasing, and therefore, the slower the motion. So, a downward-sloping line segment with a steep slope indicates slower motion.

Therefore, we can conclude that the steepness of a line segment on a distance vs. time graph indicates the speed or velocity of the object.