Question Detail

PHY 101 Kinematics in One Dimension Objective Question

Question

On a position-time (x-t) graph for an object moving in one dimension, the slope of a straight line drawn between two points on the graph represents the object's
Options
A instantaneous velocity at the midpoint.
B average acceleration between the two points.
C instantaneous acceleration at the final point.
D average velocity between the two points.
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

On a position-time graph, the slope (rise/run) is Δx/Δt. By definition, Δx/Δt is the average velocity over that time interval. The slope of a line connecting the initial and final states on an x-t graph gives the average velocity.

Hint

Recall the definition of average velocity and how it relates to the change in position over a change in time on a graph.

Question Info