3. On a graph of distance versus time, the slope of the line indicates the ___________ of an object.
A. acceleration
B. velocity***
C. speed
D. motion
speed : )
AYEEEEEE nice
speed
To determine the correct answer, let's understand the concept of slope on a distance versus time graph.
A distance versus time graph shows how an object's position changes over time. The distance is plotted on the vertical axis (y-axis), while the time is plotted on the horizontal axis (x-axis). The slope of the line connecting two points on this graph represents the rate of change of distance with respect to time.
Now, let's break down the answer choices:
A. Acceleration: Acceleration is the rate at which an object's velocity changes. It is related to changes in speed or direction. While acceleration can be determined from a distance versus time graph, it is not directly represented by the slope.
B. Velocity: Velocity is the rate at which an object's position changes in a specific direction. It combines the concepts of both speed and direction. The slope of a distance versus time graph represents the object's velocity because it shows the object's rate of change of position (distance) with respect to time.
C. Speed: Speed is the rate at which an object covers distance, but it does not consider the direction of the motion. The slope on a distance versus time graph does not directly indicate the object's speed since speed is a scalar quantity (magnitude only).
D. Motion: Motion is a general term that refers to any change in an object's position. The slope itself represents the rate of change of distance, which is directly related to the object's motion. However, the term "motion" is too broad and does not capture the specific concept being asked in the question.
Therefore, based on the explanation above, the correct answer is B. Velocity. The slope of the line on a distance versus time graph indicates the velocity of an object.