Based on the graph shown, which time interval demonstrates a constant rate of change in the car's position?
- From 0 to 2 seconds, where the position changes at a steady rate of 10 meters per second throughout the interval.
- From 2 to 5 seconds, where the position changes at a steady rate of 20 meters per second throughout the interval. (correct answer)
- From 5 to 8 seconds, where the position changes at a steady rate of 15 meters per second throughout the interval.
- From 8 to 10 seconds, where the position changes at a steady rate of 5 meters per second throughout the interval.
Explanation: A constant rate of change appears as a straight line segment on a position vs. time graph. From 2 to 5 seconds, the position increases linearly from 20m to 80m, giving a constant rate of (80-20)/(5-2) = 20 m/s. Choice A shows a curved segment indicating changing rates. Choice C shows another curved segment with varying rates. Choice D shows a horizontal line indicating zero rate of change, not 5 m/s.