15. Which statement describes the motion of the object for the first 10 seconds?

Answer: D

Explanation:

The object is accelerating.

The motion of the object for the first 10 seconds indicates that it is experiencing acceleration, which means its speed is increasing over time.

A) The object is moving at a constant speed.

This option is incorrect because a constant speed would be represented by a straight line on a distance vs. time graph. If the object were moving at a constant speed, the slope of the graph would not change, which is not the case here.

B) The object is doubling its speed every two seconds.

While this option suggests a form of acceleration, it inaccurately specifies a pattern of speed increase that is not necessarily evident from the graph. Doubling speed every two seconds implies a specific exponential growth that is not implied in the general observation of acceleration.

C) The object is increasing its height.

This choice is incorrect as it misinterprets the context of motion described by a distance vs. time graph. Height is not a factor considered in this graph, which relates distance traveled over time rather than vertical movement.

D) The object is accelerating.

This option is correct as the graph shows a changing slope, indicating that the object’s speed is increasing over the first 10 seconds. Acceleration is characterized by this increasing speed, making this option the most accurate description of the object’s motion.

Conclusion

The correct answer, indicating that the object is accelerating, is supported by the changing slope of the distance vs. time graph. All other options fail to accurately describe the observed motion, either by mischaracterizing the nature of the speed change or by introducing irrelevant factors. Thus, option D is definitively the right choice based on the visual data provided.