Question Detail
Question
An object is moving along a straight line with constant acceleration. The slope of its position-time (x-t) graph is
Correct Answer
Option C is the correct answer.
Detailed Explanation
For constant acceleration, velocity changes linearly with time. The slope of an x-t graph is the velocity. Therefore, if velocity is changing linearly, the slope of the x-t graph (which is the velocity) must also be changing linearly, resulting in a curved (parabolic) x-t graph, not a straight line.
Hint
The slope of an x-t graph gives velocity. How does velocity behave during constant acceleration? What does that imply for the slope of the x-t graph?