Question

from 0 - 15 seconds the object is
from 15 - 25 seconds the object is
from 25 - 35 seconds the object is

Explanation:

Step1: Analyze 0 - 15 seconds

The position - time graph has a positive - sloped straight line from \(t = 0\) to \(t=15\) s. A positive - sloped straight line in a position - time graph indicates a constant positive velocity. So the object is moving at a constant speed in the positive direction.

Step2: Analyze 15 - 25 seconds

The position of the object remains constant (\(x = 30\) m) from \(t = 15\) s to \(t = 25\) s. In a position - time graph, a horizontal line represents zero velocity, i.e., the object is at rest.

Step3: Analyze 25 - 35 seconds

The position - time graph has a negative - sloped straight line from \(t = 25\) s to \(t = 35\) s. A negative - sloped straight line in a position - time graph indicates a constant negative velocity. So the object is moving at a constant speed in the negative direction.

Answer:

From 0 - 15 seconds the object is moving at a constant speed in the positive direction.
From 15 - 25 seconds the object is at rest.
From 25 - 35 seconds the object is moving at a constant speed in the negative direction.