The graph shows an object’s distance traveled over a period of time.

Question

Which statement is true?

(1 point)
Responses

The object’s velocity is increasing.
The object’s velocity is increasing.

The object’s acceleration is increasing constantly.
The object’s acceleration is increasing constantly.

The object’s acceleration is increasing.
The object’s acceleration is increasing.

The object’s velocity is constant.

Answer 1

To determine which statement is true, we need to interpret the graph of distance over time.

1. If the distance graph is a straight line, the object’s velocity is constant.

2. If the graph is a curve that gets steeper, the object’s velocity is increasing.

3. If the curvature of the graph itself is increasing (i.e., getting steeper more rapidly), that indicates increasing acceleration.

Without seeing the actual graph, I can't definitively say which statement is true, but here’s how to evaluate them based on the graph's characteristics:

• "The object’s velocity is increasing." - True if the distance graph is getting steeper (not linear).

• "The object’s acceleration is increasing constantly." - True if the curvature of the graph is increasing consistently.

• "The object’s acceleration is increasing." - True if the graph is curving upwards but not necessarily at a constant rate.

• "The object’s velocity is constant." - True if the distance graph is a straight line.

Choose the statement that matches the characteristics of the graph you have.