Question

on a distance vs. time graph for an object, a line segment that is sloping upward indicates (1 point)

○ motion in the negative direction.

○ that the object is accelerating.

○ that the object is speeding up.

○ motion in the positive direction.

Explanation:

In a distance - vs - time graph, the slope of the line represents the velocity of the object. A positive slope (upward - sloping line segment) indicates that as time increases, the distance of the object from the origin (or the reference point) is increasing. This means the object is moving in the positive direction.

• Option 1: A negative - sloping line would indicate motion in the negative direction, so this is incorrect.
• Option 2: A distance - vs - time graph's slope gives velocity, not acceleration. To determine acceleration, we would need a velocity - vs - time graph, so this is incorrect.
• Option 3: A distance - vs - time graph alone does not tell us if the object is speeding up. Speeding up or slowing down is related to acceleration, which is analyzed using a velocity - vs - time graph, so this is incorrect.
• Option 4: As explained, an upward - sloping line in a distance - vs - time graph means the object is moving in the positive direction.

Answer:

D. motion in the positive direction. (Here we assume the options are labeled A, B, C, D in order. If the original options have different labels, adjust accordingly. Since the user's options are not labeled with A - D in the provided text, but in standard multiple - choice, we can label them as such for clarity. The last option "motion in the positive direction" is the correct one.)