Vectors, Magnitude, and Direction of Force Quick Check

3 of 53 of 5 Items
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 slower 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.

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.

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.

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.

To understand this, we need to understand how distance vs. time graphs work. In a distance vs. time graph, the x-axis represents time and the y-axis represents distance. The steepness of a line segment on this graph represents the rate of change of distance with respect to time, which is the object's velocity.

If the line segment is upward-sloping (from left to right), it means that the distance is increasing with time, indicating that the object is moving forward or in the positive direction. The steeper the slope of the line segment, the faster the object is moving.

Conversely, if the line segment is downward-sloping (from left to right), it means that the distance is decreasing with time, indicating that the object is moving backward or in the negative direction. The steeper the slope of the line segment, the slower the object is moving.

So, when the slope of an upward-sloping line segment is steeper, it means the object is moving faster. And when the slope of a downward-sloping line segment is steeper, it means the object is moving slower.