Question

Noah and Diego left the amusement park’s ticket booth at the same time. Each moved at a constant speed toward his favorite ride. After 8 seconds, Noah was 17 meters from the ticket booth, and Diego was 43 meters away from the ticket booth. 1.Which line represents the distance traveled by Noah, and which line represents the distance traveled by Diego?

Answer 1

The line with the gentler slope represents Noah's distance from the ticket booth since he traveled at a slower speed (2.125 m/s), and the steeper line represents Diego's distance, who traveled faster at 5.375 m/s. We calculated this based on the distance each covered in 8 seconds from the same starting point.

Step-by-step explanation:

To determine which line represents the distance traveled by Noah and which line represents the distance traveled by Diego, we need to look at their respective speeds because both started at the same time and moved at constant speeds. We calculate the speed by dividing the distance traveled by the time taken.

For Noah, who was 17 meters from the ticket booth after 8 seconds, his speed is calculated as follows: Speed = Distance ÷ Time = 17 meters ÷ 8 seconds = 2.125 m/s.

For Diego, who was 43 meters from the ticket booth after 8 seconds, his speed is: Speed = Distance ÷ Time = 43 meters ÷ 8 seconds = 5.375 m/s.

Since Diego's speed is greater than Noah's, the line that rises faster on a distance-time graph would represent Diego's distance from the ticket booth over time, whereas the line with a gentler slope would represent Noah's.