Question

Position Time Graph

The graph represents the displacement of an object from its starting point as time (t) progresses. The object is traveling along a straight path. During which of the following time intervals is the object at rest?
a) 0-2 seconds
b) 2-3 seconds
c) 3-4 seconds
d) 4-6 seconds

Answer 1

The object is at rest during the 0-2 seconds interval, as indicated by a horizontal line on the position-time graph, which signifies constant displacement and zero velocity.

Step-by-step explanation:

The question pertains to a position-time graph representing the displacement of an object as time progresses. When considering the intervals provided, the object is at rest during the 0-2 seconds interval. This conclusion can be drawn because for the first 2 seconds, the position-time graph shows a horizontal line, indicating that the displacement remains constant. Therefore, the object has zero velocity, meaning it is stationary. This is also supported by the fact that the gradient of a displacement vs. time graph equates to velocity, and a horizontal line suggests a gradient of zero. Consequently, the answer to the student's inquiry is that the object is at rest during option a) 0-2 seconds.