The graphs below show the distance and time traveled by Object X and Object Y.

Question

Which statement is correct about the two objects?

a
Objects X and Y are traveling at the same speed.
b
Neither object is traveling at a constant speed, and Object X is traveling at a slower speed than Object Y.
c
Both are traveling at a constant speed, but Object X is traveling at a faster speed than Object Y.
d
Objects X and Y are speeding up over time.

Answer 1

Without the specific graphs for Object X and Object Y, I can't provide a definitive answer. However, I can help you interpret the statements based on common scenarios for distance-time graphs.

1. a (Objects X and Y are traveling at the same speed.) - This would be true if the slopes of both lines in the graph are identical.

2. b (Neither object is traveling at a constant speed, and Object X is traveling at a slower speed than Object Y.) - This would be true if the lines for both objects are curved, indicating changing speeds, and the slope of Object Y is greater than that of Object X during the intervals you are considering.

3. c (Both are traveling at a constant speed, but Object X is traveling at a faster speed than Object Y.) - This would be true if the lines for both objects are straight but the slope of Object X is steeper than that of Object Y.

4. d (Objects X and Y are speeding up over time.) - This would be true if both lines are curved upward, indicating that the distance is increasing at an increasing rate.

To determine which statement is correct, you would need to examine the slopes of the lines on the graphs and see whether they are straight (indicating constant speed) or curved (indicating acceleration). If you can provide more details about the graphs, I'd be glad to help further!