To determine which statement is true based on the graph of the object's motion, we would need to analyze the shape of the graph. Here are some general guidelines for interpreting motion graphs:
- If the graph shows a curve that gets steeper: This indicates the object is accelerating at an increasing rate.
- If the graph is a straight horizontal line: This indicates that the object does not move (it is at rest).
- If the graph shows a curve that becomes less steep: This indicates that the object is accelerating at a decreasing rate.
- If the graph is a straight line with a constant slope: This indicates the object is moving at a constant rate (constant velocity).
Given these interpretations, here are the possible analyses of each statement:
- The object accelerates at an increasing rate: True if the graph shows a concave up shape (curving upwards) where the slope is increasing.
- The object does not move: True if the graph is a straight horizontal line along the time axis.
- The object accelerates at an increasing rate followed by a decreasing rate: True if the graph first curves upwards and then starts to curve downwards (concave down).
- The object starts at rest and then accelerates at a constant rate: True if the graph is a straight line starting from the origin.
Without seeing the actual graph, it's difficult to definitively state which statement is correct. However, use these guidelines to assess the graph you've been provided.